# urls
prefix_url = 'https://captcha-static.pingan.com/'
token_url = 'https://paicc-core.pingan.com.cn/paicc-core-web/webapi/isShowImageVcode.do'
gt_register_url = 'https://paicc-core.pingan.com.cn/paicc-core-web/webapi/gt/register'
get_php_url = 'https://captcha-api.pingan.com/get.php'
ajax_php_url = 'https://captcha-api.pingan.com/ajax.php'
pc_login_url = 'https://paicc-core.pingan.com.cn/paicc-core-web/webapi/login.view?tabs=account&appId=16666'
acc_login_url = 'https://paicc-core.pingan.com.cn/paicc-core-web/webapi/accLoginPC.do'
login_success_handler_url = 'https://one.pingan.com.cn/pa/paone-service/loginSuccessHandler.do'

# params
app_id = '16666'
device_type = 'web'
redirect_flag = ''
sign_type = ''
login_type = 'account'

# http
fetch_timeout = 5
common_login_headers = {
    'Origin': 'https://paicc-core.pingan.com.cn',
    'Referer': 'https://paicc-core.pingan.com.cn/paicc-core-web/webapi/login.view?tabs=account&appId=16666',
    'User-Agent': 'Mozilla/5.0 (Windows NT 10.0; Win64; x64) AppleWebKit/537.36 (KHTML, like Gecko) '
                  'Chrome/79.0.3945.117 Safari/537.36'
}

# js path
pwd_encrypt_js_path = './js/login_pwd_encrypt.js'
full_page_t1_js_path = './js/fullpage_t1.js'
full_page_w1_js_path = './js/fullpage_w1.js'
full_page_w2_js_path = './js/fullpage_w2.js'
u_js_path = './js/u_params.js'
slide_a_js_path = './js/slide_a.js'
slide_u_js_path = './js/encrypt.js'

# retrying
retry_max_number = 10
retry_min_random_wait = 1000  # ms
retry_max_random_wait = 5000  # ms

# redis key
geetest_session_key = 'GEETEST:SESSION'

# params
min_threshold = 100
min_sleep_time = 10
max_sleep_time = 6 * 60 * 60

# expire time
expire_time = 24 * 60 * 60
expire_7_days = 7 * 24 * 60 * 60

# sliding track
slide_track = [
    [[-32, -26, 0], [0, 0, 0], [0, 0, 135], [2, 0, 143], [4, 0, 150], [6, 0, 159], [8, 0, 167], [11, 0, 174],
     [14, 0, 182], [17, 0, 191], [20, 0, 198], [23, 0, 207], [26, 0, 214], [28, 0, 223], [31, 0, 231],
     [34, 0, 238], [37, 0, 247], [38, 0, 253], [40, 0, 263], [43, 0, 269], [45, 0, 278], [48, 0, 285],
     [49, 0, 294], [51, 0, 301], [52, 0, 309], [53, -1, 317], [54, -1, 326], [55, -1, 333], [56, -2, 341],
     [57, -2, 348], [58, -2, 358], [59, -2, 364], [60, -3, 373], [61, -3, 380], [62, -3, 389], [63, -3, 397],
     [64, -3, 404], [64, -3, 414], [65, -4, 420], [65, -4, 428], [66, -4, 435], [66, -4, 445], [66, -4, 451],
     [66, -4, 461], [67, -4, 467], [67, -4, 476], [67, -4, 482], [67, -4, 490], [68, -4, 498], [68, -4, 506],
     [69, -4, 514], [70, -5, 522], [71, -5, 530], [72, -5, 537], [73, -5, 546], [74, -5, 553], [75, -5, 561],
     [76, -5, 569], [76, -5, 577], [77, -5, 585], [77, -5, 593], [78, -5, 601], [78, -5, 609], [78, -5, 617],
     [78, -5, 632], [79, -5, 972], [79, -5, 980], [79, -5, 1004], [79, -5, 1028], [80, -5, 1051],
     [80, -5, 1075], [80, -5, 1099], [80, -5, 1122], [80, -5, 1261]],
    [[-40, -21, 0], [0, 0, 0], [1, 0, 113], [2, 0, 122], [4, 0, 129], [7, 0, 136], [10, 0, 144], [15, 0, 152],
     [19, 0, 161], [29, 0, 168], [35, 0, 178], [41, 0, 184], [44, 0, 195], [51, 0, 200], [57, 0, 208],
     [63, 0, 216], [68, 0, 224], [74, 0, 231], [80, 0, 239], [85, 0, 247], [87, 0, 254], [91, 0, 263],
     [94, 0, 270], [98, 0, 278], [100, 0, 287], [102, 0, 295], [103, 0, 302], [105, 0, 311], [105, 0, 318],
     [106, 0, 328], [106, 0, 335], [106, 0, 342], [107, 0, 350], [107, 0, 358], [107, 0, 381], [107, 0, 445],
     [108, 0, 453], [109, 0, 461], [109, 0, 470], [111, 0, 479], [113, 0, 485], [115, 0, 495], [116, 0, 500],
     [119, 0, 509], [121, 0, 516], [123, 0, 525], [125, 0, 532], [127, 0, 540], [128, 0, 547], [129, 0, 557],
     [131, 0, 563], [131, 0, 572], [132, 0, 579], [132, 0, 587], [132, 0, 596], [133, 0, 603], [133, 0, 612],
     [133, 0, 619], [133, 0, 880], [133, 0, 896], [132, 0, 904], [132, 0, 912], [132, 0, 919], [132, 0, 929],
     [131, 0, 935], [131, 0, 946], [131, 0, 952], [130, 0, 958], [130, 0, 966], [129, 1, 975], [129, 1, 982],
     [129, 1, 991], [129, 1, 998], [128, 1, 1007], [128, 1, 1014], [127, 1, 1023], [127, 1, 1029],
     [126, 1, 1037], [126, 1, 1046], [125, 1, 1054], [124, 1, 1063], [123, 1, 1069], [123, 1, 1079],
     [122, 1, 1085], [121, 1, 1096], [121, 1, 1101], [121, 1, 1110], [120, 1, 1116], [120, 1, 1125],
     [120, 1, 1132], [119, 1, 1142], [119, 1, 1156], [119, 1, 1472], [120, 1, 1513], [120, 1, 1561],
     [120, 1, 1599], [120, 1, 1622], [121, 1, 1646], [121, 1, 1663], [121, 1, 1686], [121, 1, 1701],
     [122, 1, 1717], [122, 1, 1742], [122, 1, 1757], [122, 1, 1797], [123, 1, 1819], [123, 1, 1853],
     [123, 1, 1892], [123, 1, 2181]],
    [[-37, -39, 0], [0, 0, 0], [0, 0, 1], [0, 0, 176], [1, 0, 182], [3, 0, 190], [5, 0, 199], [8, 0, 206],
     [11, 0, 216], [14, 0, 221], [18, 0, 231], [22, 0, 239], [26, 0, 246], [30, 0, 253], [34, 0, 261],
     [37, 0, 269], [42, 0, 278], [45, 0, 284], [47, 0, 294], [51, 0, 300], [54, 0, 309], [57, 0, 316],
     [60, 1, 325], [64, 1, 332], [65, 1, 342], [68, 1, 348], [71, 1, 356], [73, 1, 366], [75, 1, 373],
     [78, 1, 382], [80, 2, 389], [82, 2, 396], [85, 2, 403], [87, 2, 411], [89, 2, 419], [91, 2, 427],
     [93, 2, 434], [94, 2, 444], [96, 2, 451], [98, 2, 460], [99, 2, 466], [101, 2, 474], [103, 2, 482],
     [104, 2, 491], [106, 2, 500], [108, 2, 506], [109, 2, 516], [111, 2, 522], [112, 2, 532], [114, 2, 537],
     [114, 2, 546], [116, 2, 553], [117, 2, 562], [118, 2, 569], [119, 2, 578], [120, 2, 587], [121, 2, 593],
     [122, 2, 601], [123, 2, 610], [124, 2, 617], [125, 2, 624], [126, 2, 632], [127, 2, 641], [127, 2, 649],
     [128, 2, 656], [128, 2, 666], [129, 2, 672], [129, 2, 683], [130, 2, 688], [131, 2, 697], [131, 2, 703],
     [132, 2, 712], [133, 2, 719], [133, 2, 728], [134, 2, 735], [134, 2, 744], [135, 2, 751], [135, 2, 759],
     [135, 2, 767], [136, 2, 775], [136, 3, 782], [136, 3, 790], [137, 3, 798], [137, 3, 806], [137, 3, 815],
     [137, 3, 832], [138, 3, 901], [138, 3, 1318]],
    [[-29, -24, 0], [0, 0, 0], [0, 0, 133], [2, 0, 143], [4, 0, 149], [7, 0, 158], [12, 0, 165], [15, 0, 172],
     [20, 0, 181], [24, 0, 188], [29, 0, 197], [34, 0, 203], [39, 0, 214], [44, 0, 220], [50, 0, 229],
     [55, 0, 236], [59, 0, 245], [60, 0, 251], [64, 0, 261], [67, 0, 267], [70, 0, 276], [73, 0, 283],
     [75, 0, 292], [77, 0, 299], [79, 0, 308], [81, 0, 315], [82, 0, 324], [83, 0, 332], [85, 0, 340],
     [86, 0, 348], [87, 0, 355], [88, 0, 363], [89, 0, 371], [91, 0, 379], [92, 0, 386], [94, 0, 395],
     [95, 0, 402], [97, 0, 411], [98, 0, 417], [100, 0, 427], [101, 0, 433], [103, 0, 442], [104, 0, 449],
     [105, 0, 458], [106, 0, 465], [107, 0, 474], [108, 0, 482], [109, 0, 488], [110, 0, 498], [111, 0, 504],
     [112, 0, 516], [113, 0, 520], [114, 0, 529], [114, 0, 536], [114, 0, 545], [115, 0, 552], [115, 0, 560],
     [115, 0, 567], [115, 0, 577], [116, 0, 593], [115, 0, 1010], [115, 0, 1018], [115, 0, 1027],
     [115, 0, 1042], [115, 0, 1058], [114, 0, 1082], [114, 0, 1114], [114, 0, 1655]],
    [[-43, -30, 0], [0, 0, 0], [0, 0, 2], [0, 0, 173], [1, 0, 181], [4, 0, 188], [6, 0, 196], [10, 0, 204],
     [15, 0, 212], [20, 0, 220], [26, 0, 229], [30, 0, 236], [35, 0, 244], [39, 0, 252], [43, 0, 262],
     [48, 0, 268], [51, 0, 277], [53, 0, 284], [56, 0, 293], [59, 0, 300], [61, 0, 309], [63, 0, 316],
     [64, 0, 325], [66, 0, 332], [66, 0, 340], [67, 0, 347], [68, 0, 356], [69, 0, 364], [69, 0, 372],
     [69, 0, 381], [70, 0, 387], [70, 0, 398], [70, 0, 402], [70, 0, 428], [71, 0, 434], [71, 0, 444],
     [72, 0, 450], [72, 0, 460], [74, 0, 466], [75, 0, 475], [76, 0, 481], [77, 0, 491], [79, 0, 498],
     [80, 0, 506], [81, 0, 514], [82, 0, 521], [82, 0, 531], [83, 0, 537], [83, 0, 548], [83, 0, 552],
     [84, 0, 563], [84, 0, 578], [84, 0, 1589], [84, 0, 1598], [84, 0, 1610]],
    [[-40, -17, 0], [0, 0, 0], [1, 0, 190], [2, 0, 199], [4, 0, 208], [6, 0, 214], [8, 0, 224], [11, 0, 229],
     [14, 0, 240], [15, 0, 245], [18, 0, 254], [21, 0, 261], [23, 0, 269], [25, 0, 276], [27, 0, 284],
     [28, 0, 292], [29, 0, 300], [30, 0, 308], [31, 0, 317], [32, 0, 325], [33, 0, 332], [34, 0, 341],
     [34, 0, 349], [35, 0, 358], [36, 0, 364], [38, 0, 373], [40, 0, 379], [41, 0, 390], [43, 0, 395],
     [45, 0, 403], [47, 0, 411], [50, 0, 418], [52, 0, 426], [53, 0, 435], [56, 0, 443], [58, 0, 450],
     [59, 0, 458], [61, 0, 466], [62, 0, 474], [63, 0, 482], [64, 0, 490], [65, 0, 497], [66, 0, 507],
     [66, 0, 513], [66, 0, 523], [67, 0, 529], [67, 0, 537], [67, 0, 545], [67, 0, 562], [68, 0, 648],
     [68, 0, 696], [68, 0, 885], [68, 0, 902], [69, 0, 941], [69, 0, 964], [69, 0, 980], [69, 0, 995],
     [70, 0, 1012], [70, 0, 1037], [70, 0, 1053], [70, 0, 1068], [70, 0, 1091], [71, 0, 1115], [71, 0, 1130],
     [71, 0, 1162], [71, 0, 1186], [72, 0, 1201], [72, 0, 1234], [72, 0, 1259], [72, 0, 1280], [73, 0, 1337],
     [73, 0, 1367], [73, 0, 1408], [73, 0, 1441], [74, 0, 1471], [74, 0, 1503], [74, 0, 1551], [74, 0, 1622],
     [74, 0, 1743]],
    [[-42, -37, 0], [0, 0, 0], [0, 0, 1], [0, 0, 143], [1, 0, 149], [3, 0, 158], [5, 0, 165], [6, 0, 173],
     [9, 0, 180], [11, 0, 188], [14, 0, 197], [17, 0, 204], [19, 0, 212], [24, 0, 221], [27, 0, 228],
     [30, 0, 236], [34, 0, 244], [38, 0, 253], [41, 0, 260], [46, 0, 267], [50, 0, 275], [55, 0, 283],
     [59, 0, 291], [61, 0, 299], [65, 0, 309], [68, 0, 316], [72, 0, 326], [76, 0, 331], [79, 0, 342],
     [82, 0, 347], [85, 0, 357], [88, 0, 362], [91, 0, 371], [93, 0, 378], [96, -1, 388], [99, -1, 394],
     [102, -1, 404], [104, -1, 410], [107, -1, 420], [108, -1, 426], [110, -1, 435], [112, -1, 443],
     [113, -1, 450], [115, -1, 459], [116, -1, 466], [117, -1, 473], [118, -1, 481], [119, -1, 489],
     [120, -1, 497], [120, -1, 505], [121, -1, 513], [122, -1, 521], [122, -1, 529], [123, -1, 536],
     [123, -1, 544], [124, -1, 552], [124, -1, 560], [125, -1, 568], [126, -1, 576], [126, -1, 584],
     [127, -1, 592], [128, -1, 600], [129, -1, 609], [129, -1, 615], [130, -1, 626], [130, -1, 632],
     [131, -1, 640], [131, -1, 647], [132, -1, 656], [133, -1, 663], [133, -1, 673], [133, -1, 679],
     [134, -1, 688], [134, -1, 695], [134, -1, 703], [134, -1, 718], [135, -1, 773], [135, -1, 854],
     [135, -1, 861], [136, -1, 870], [136, -1, 877], [136, -1, 885], [137, -1, 893], [137, -1, 901],
     [137, -1, 910], [137, -1, 916], [138, -1, 932], [138, -1, 1297], [138, -1, 1336], [138, -1, 1376],
     [138, -1, 1648]],
    [[-41, -28, 0], [0, 0, 0], [1, 0, 142], [2, 0, 149], [4, 0, 158], [6, 0, 165], [9, 0, 172], [12, 0, 180],
     [16, 0, 188], [19, 0, 196], [23, 0, 203], [27, 0, 212], [30, 0, 219], [34, 0, 228], [37, 0, 236],
     [41, 0, 247], [45, 0, 252], [47, 0, 261], [50, 0, 267], [52, 0, 277], [56, 0, 283], [58, 0, 292],
     [61, 0, 299], [63, 0, 309], [65, 0, 315], [67, 0, 324], [68, 0, 330], [70, 0, 340], [72, 0, 347],
     [73, 0, 354], [75, 0, 363], [76, 0, 370], [77, 0, 381], [79, 0, 387], [80, 0, 397], [81, 0, 402],
     [82, 0, 410], [82, 0, 418], [83, 0, 427], [84, 0, 433], [84, -1, 441], [85, -1, 449], [85, -1, 458],
     [86, -1, 465], [87, -1, 475], [87, -1, 481], [88, -1, 489], [88, -1, 498], [89, -1, 504], [89, -1, 514],
     [90, -2, 521], [91, -2, 530], [91, -2, 536], [92, -2, 543], [93, -2, 552], [93, -2, 560], [93, -2, 567],
     [94, -2, 577], [95, -2, 583], [95, -2, 592], [95, -2, 599], [96, -2, 608], [96, -2, 615], [96, -2, 624],
     [96, -2, 631], [97, -2, 638], [97, -2, 664], [97, -2, 697], [97, -2, 965], [98, -2, 972], [98, -2, 981],
     [98, -2, 987], [98, -2, 998], [99, -2, 1002], [99, -2, 1011], [99, -2, 1018], [99, -2, 1044],
     [100, -2, 1066], [100, -2, 1122], [100, -2, 1169], [100, -2, 1200], [101, -2, 1225], [101, -2, 1249],
     [101, -2, 1288], [101, -2, 1328], [101, -2, 1376], [102, -2, 1432], [102, -2, 1477], [102, -2, 1735]],
    [[-22, -34, 0], [0, 0, 0], [0, 0, 1], [0, 0, 133], [2, 0, 141], [4, 0, 149], [6, 0, 157], [8, 0, 165],
     [12, 0, 175], [14, 0, 180], [17, 0, 191], [20, 0, 197], [21, 0, 207], [25, 0, 213], [28, 0, 222],
     [30, 0, 228], [33, 0, 236], [35, 0, 244], [36, 0, 253], [39, 0, 260], [41, 0, 269], [43, 0, 276],
     [46, 0, 285], [48, 0, 292], [50, 0, 300], [52, 0, 309], [54, 0, 316], [56, 0, 325], [58, 0, 332],
     [60, 0, 341], [62, 0, 348], [63, 0, 358], [65, 0, 363], [66, 0, 372], [67, 0, 378], [68, 0, 386],
     [69, 0, 394], [69, 0, 403], [69, 0, 410], [70, 0, 420], [70, 0, 426], [70, 0, 436], [70, 0, 688],
     [70, 0, 695], [69, 0, 711], [69, 0, 726], [69, 0, 736], [69, 0, 743], [68, 0, 750], [68, 0, 759],
     [68, 0, 766], [68, 0, 775], [67, 0, 792], [67, 0, 798], [67, 0, 813], [67, 0, 829], [66, 0, 854],
     [66, 0, 893], [66, 0, 909], [66, 0, 943], [66, 0, 1234], [66, 0, 1279], [66, 0, 1300]],
    [[-45, -32, 0], [0, 0, 0], [0, 0, 1], [0, 0, 133], [1, 0, 141], [2, 0, 149], [3, 0, 156], [5, 0, 164],
     [7, 0, 173], [9, 0, 181], [11, 0, 188], [14, 0, 196], [17, 0, 205], [20, 0, 212], [23, 0, 221],
     [25, 0, 229], [27, 0, 237], [29, 0, 246], [31, 0, 252], [33, 0, 259], [35, 0, 268], [36, 0, 275],
     [38, 0, 283], [39, 0, 291], [41, 0, 299], [42, 0, 307], [43, 0, 315], [44, 0, 322], [45, 0, 330],
     [45, 0, 338], [46, 0, 346], [46, 0, 354], [46, 0, 363], [47, 0, 370], [47, 0, 379], [47, 0, 386],
     [47, 0, 396], [48, 0, 465], [48, 0, 563], [48, 0, 593], [48, 0, 631], [49, 0, 655], [49, 0, 680],
     [49, 0, 702], [49, 0, 727], [50, 0, 743], [50, 0, 766], [50, 0, 782], [50, 0, 807], [50, 0, 830],
     [50, 0, 1027], [50, 0, 1034], [50, 0, 1049], [50, 1, 1059], [49, 1, 1066], [49, 1, 1074], [49, 1, 1081],
     [49, 1, 1102]],
    [[-36, -24, 0], [0, 0, 0], [1, 0, 158], [2, 0, 166], [4, 0, 174], [7, 0, 182], [10, 0, 192], [13, 0, 197],
     [17, 0, 204], [20, 0, 212], [23, 0, 221], [28, 0, 228], [33, 0, 238], [36, 0, 244], [41, 0, 254],
     [46, 0, 260], [51, 0, 269], [54, 0, 276], [59, 0, 285], [64, 0, 292], [70, 0, 301], [75, 0, 308],
     [80, 0, 317], [85, 0, 325], [90, 0, 333], [95, 0, 341], [99, 0, 347], [103, -1, 357], [107, -1, 364],
     [111, -1, 374], [115, -1, 379], [119, -1, 389], [121, -1, 394], [124, -1, 402], [127, -1, 410],
     [130, -1, 418], [132, -1, 426], [134, -2, 434], [136, -2, 442], [137, -2, 450], [138, -2, 458],
     [139, -2, 466], [139, -2, 473], [139, -2, 482], [139, -2, 492], [140, -2, 498], [140, -2, 507],
     [140, -2, 513], [140, -3, 529], [140, -3, 538], [141, -3, 577], [141, -3, 584], [141, -3, 592],
     [142, -3, 600], [143, -3, 608], [144, -3, 617], [144, -3, 625], [145, -3, 633], [145, -3, 641],
     [146, -3, 647], [146, -3, 658], [146, -3, 663], [146, -3, 672], [147, -3, 679], [147, -3, 711],
     [146, -3, 861], [146, -3, 876], [146, -3, 892], [146, -3, 901], [145, -3, 908], [145, -3, 926],
     [145, -3, 933], [145, -3, 948], [144, -3, 964], [144, -3, 979], [144, -3, 995], [144, -3, 1021],
     [144, -3, 1027], [143, -3, 1036], [143, -3, 1042], [143, -3, 1068], [143, -3, 1092], [143, -3, 1117],
     [142, -3, 1121], [142, -3, 1177], [142, -2, 1242], [142, -2, 1265], [142, -2, 1343], [141, -2, 1376],
     [141, -2, 1398], [141, -2, 1430], [141, -2, 1455], [140, -2, 1534], [140, -2, 2019]],
    [[-34, -41, 0], [0, 0, 0], [1, 0, 158], [2, 0, 165], [3, 0, 173], [5, 0, 181], [8, 0, 189], [11, 0, 197],
     [15, 0, 205], [19, 0, 213], [23, 0, 220], [26, 0, 229], [31, 0, 236], [36, 0, 244], [40, 0, 254],
     [44, 0, 261], [49, 0, 271], [53, 0, 276], [57, 0, 285], [61, 0, 292], [64, 0, 301], [67, 0, 308],
     [71, 0, 317], [75, 0, 324], [78, 0, 332], [82, 0, 340], [85, 0, 349], [87, 0, 355], [90, 0, 365],
     [93, 0, 371], [95, 0, 380], [98, 0, 387], [100, 0, 396], [102, 0, 404], [104, 0, 411], [106, 0, 419],
     [107, 0, 426], [109, 0, 435], [111, 0, 442], [112, 0, 451], [114, 0, 457], [115, 0, 466], [117, 0, 473],
     [118, 0, 483], [120, 0, 489], [121, 0, 499], [122, 0, 505], [123, 0, 513], [124, 0, 520], [124, 0, 530],
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     [94, 0, 1249], [94, 0, 1388]],
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     [87, -3, 1122], [87, -3, 1405]],
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     [102, -1, 941], [102, -1, 1430]],
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     [128, 4, 1370]],
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     [117, 6, 1023], [117, 6, 1056], [117, 6, 1500]],
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     [90, 2, 784], [90, 2, 1143]],
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     [101, 5, 1137], [101, 5, 1149]],
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     [158, 5, 2010]],
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     [88, -1, 1505]],
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     [116, 4, 1664]],
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     [72, 0, 1083], [72, 0, 1115], [72, 0, 1323]],
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     [95, -3, 1169]],
    [[-26, -38, 0], [0, 0, 0], [1, 0, 142], [2, 0, 150], [3, 0, 157], [5, 0, 165], [7, 0, 173], [9, 0, 183],
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     [106, 0, 1260]],
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     [53, 1, 1491], [53, 1, 1623]],
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     [174, 8, 1803]],
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     [51, 0, 1298]],
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     [79, 0, 1014], [79, 0, 1067], [79, 1, 1109], [79, 1, 1133], [79, 1, 1164], [79, 1, 1202], [79, 1, 1216]],
    [[-37, -27, 0], [0, 0, 0], [0, 0, 227], [2, 0, 234], [4, 0, 242], [6, 0, 250], [8, 0, 257], [11, 0, 265],
     [14, 0, 272], [17, 0, 326], [39, 0, 329], [42, 1, 336], [47, 1, 344], [50, 1, 352], [54, 1, 359],
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     [84, 4, 534], [85, 4, 541], [85, 4, 549], [86, 4, 557], [87, 4, 565], [87, 4, 573], [88, 4, 581],
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     [95, 5, 644], [95, 5, 652], [95, 5, 660], [96, 5, 668], [96, 5, 676], [97, 5, 683], [97, 5, 691],
     [97, 6, 699], [97, 6, 715], [97, 6, 763], [97, 6, 1314]],
    [[-31, -27, 0], [0, 0, 0], [0, 0, 159], [1, 0, 166], [1, 0, 173], [3, 0, 181], [5, 0, 189], [5, 0, 197],
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     [51, 0, 315], [54, 0, 323], [58, 0, 331], [60, 1, 339], [62, 1, 347], [65, 2, 356], [68, 2, 363],
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     [88, 5, 1722], [88, 5, 1798], [89, 5, 1801], [89, 5, 2022]],
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     [117, 1, 1114], [117, 1, 1139], [117, 1, 1644]],
    [[-35, -31, 0], [0, 0, 0], [0, 0, 170], [1, 0, 175], [3, 0, 185], [3, 0, 190], [6, 0, 198], [7, 0, 206],
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     [53, 3, 1620]],
    [[-43, -30, 0], [0, 0, 0], [0, 0, 143], [2, 0, 147], [3, 0, 156], [6, 0, 163], [9, 0, 171], [14, 0, 178],
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     [93, 6, 1104]],
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     [63, 3, 1637], [63, 3, 1664]],
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     [80, 1, 1354]],
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     [177, 18, 1430]],
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     [174, 9, 1051]],
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     [67, 2, 1155], [67, 2, 1203], [67, 2, 1257], [67, 2, 1466]],
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     [173, 14, 2209], [173, 14, 2496]],
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     [112, 2, 1189], [112, 2, 1222], [112, 2, 1686]],
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     [6, 0, 248], [8, 0, 259], [10, 0, 263], [12, 0, 272], [13, 0, 280], [15, 0, 287], [18, 0, 295],
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     [48, 1, 1812]],
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     [120, -4, 1287], [120, -4, 1750]],
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     [15, 0, 207], [20, 0, 215], [25, 0, 223], [30, 0, 231], [35, 0, 239], [41, 0, 246], [46, 0, 254],
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     [136, 15, 2457]],
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     [9, 0, 199], [11, 0, 205], [12, 0, 213], [13, 0, 221], [14, 0, 228], [16, 0, 237], [17, 0, 244],
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     [30, 0, 308], [32, 0, 317], [33, 0, 323], [35, 0, 332], [37, 0, 339], [38, 0, 349], [39, 0, 355],
     [41, 0, 363], [43, 0, 371], [44, 0, 379], [46, 0, 387], [47, 0, 395], [48, 0, 403], [50, 0, 410],
     [51, 0, 418], [52, 0, 426], [53, 0, 434], [54, 0, 442], [55, 0, 450], [55, 0, 458], [56, 0, 467],
     [56, 0, 474], [57, 0, 482], [57, 0, 489], [57, 0, 505], [57, 0, 577], [58, 0, 613], [58, 0, 635],
     [58, 0, 656], [58, 0, 680], [58, 0, 688], [59, 0, 695], [59, 0, 703], [60, 0, 712], [60, 0, 719],
     [61, 0, 727], [61, 0, 735], [62, 0, 742], [62, 0, 750], [62, 0, 758], [62, 0, 767], [63, 0, 786],
     [63, 0, 823], [63, 0, 912], [63, 1, 1004], [63, 1, 1145]],
    [[-37, -40, 0], [0, 0, 0], [0, 0, 5], [0, 0, 28], [2, 0, 34], [10, 0, 60], [13, 0, 66], [16, 0, 74],
     [21, 0, 82], [26, 0, 90], [30, 0, 98], [35, 0, 105], [39, 0, 114], [44, 0, 121], [48, 0, 129],
     [53, 0, 137], [58, 0, 145], [62, 0, 153], [65, 0, 162], [68, 0, 169], [71, 1, 178], [74, 1, 185],
     [77, 2, 195], [79, 2, 200], [82, 2, 208], [84, 3, 216], [86, 3, 224], [88, 4, 232], [89, 4, 240],
     [91, 5, 248], [92, 5, 256], [94, 5, 264], [96, 5, 271], [97, 6, 280], [98, 6, 288], [100, 6, 296],
     [101, 6, 303], [103, 7, 312], [105, 7, 319], [106, 7, 329], [108, 7, 334], [109, 7, 342], [110, 8, 351],
     [111, 8, 358], [112, 8, 366], [113, 8, 374], [114, 8, 382], [114, 8, 390], [115, 8, 398], [116, 8, 406],
     [117, 9, 414], [117, 9, 422], [118, 9, 430], [118, 9, 438], [119, 9, 446], [120, 9, 453], [120, 9, 462],
     [121, 9, 469], [122, 9, 478], [123, 9, 485], [123, 9, 493], [124, 10, 501], [125, 10, 509],
     [125, 10, 517], [126, 10, 524], [126, 10, 532], [127, 10, 540], [127, 10, 548], [128, 10, 556],
     [128, 10, 564], [129, 10, 572], [129, 10, 580], [129, 10, 588], [130, 10, 596], [130, 10, 603],
     [130, 10, 614], [131, 10, 620], [131, 10, 630], [131, 11, 651], [131, 11, 732], [131, 11, 814],
     [132, 11, 828], [132, 11, 842], [132, 11, 849], [132, 11, 877], [133, 11, 1167], [133, 11, 1215],
     [133, 11, 1256], [133, 11, 1277], [133, 11, 1303], [133, 11, 1384]],
    [[-40, -31, 0], [0, 0, 0], [0, 0, 170], [1, 0, 177], [3, 0, 185], [4, 0, 193], [6, 0, 201], [8, 0, 209],
     [10, 0, 217], [12, 0, 225], [15, 0, 232], [17, 0, 241], [20, 0, 248], [23, 0, 258], [26, 0, 264],
     [28, 0, 274], [31, 0, 280], [34, 0, 288], [36, 0, 296], [39, 0, 303], [43, 0, 321], [45, 0, 461],
     [62, 0, 468], [62, 0, 471], [63, 0, 478], [63, 0, 485], [65, 0, 511], [66, 0, 517], [67, 0, 526],
     [67, 0, 533], [68, 0, 542], [69, 1, 548], [69, 1, 558], [70, 1, 564], [71, 1, 576], [71, 1, 580],
     [72, 1, 588], [73, 1, 596], [74, 1, 604], [75, 1, 612], [76, 2, 620], [77, 2, 628], [78, 2, 635],
     [80, 2, 644], [81, 2, 651], [82, 2, 659], [83, 2, 667], [84, 2, 675], [84, 2, 683], [85, 2, 691],
     [85, 2, 699], [85, 2, 708], [86, 2, 714], [86, 2, 730], [86, 2, 940], [85, 2, 947], [85, 2, 952],
     [85, 2, 960], [85, 2, 968], [84, 2, 976], [84, 2, 983], [84, 2, 992], [84, 2, 999], [83, 2, 1008],
     [83, 2, 1015], [83, 2, 1026], [83, 3, 1030], [82, 3, 1038], [82, 3, 1047], [82, 3, 1055], [81, 3, 1062],
     [81, 3, 1078], [81, 3, 1087], [81, 3, 1095], [80, 3, 1102], [80, 3, 1110], [80, 3, 1128], [80, 3, 1143],
     [79, 3, 1160], [79, 3, 1197], [79, 3, 1591]],
    [[-38, -22, 0], [0, 0, 0], [11, 0, 300], [14, 0, 307], [17, 0, 310], [19, 0, 318], [21, 1, 331],
     [24, 1, 334], [28, 2, 350], [30, 2, 356], [31, 2, 363], [32, 2, 372], [33, 3, 379], [34, 3, 387],
     [35, 3, 395], [35, 3, 403], [36, 3, 410], [37, 3, 419], [38, 3, 426], [39, 3, 434], [40, 4, 442],
     [41, 4, 453], [42, 4, 458], [44, 4, 467], [46, 4, 474], [47, 4, 482], [50, 4, 490], [53, 4, 498],
     [55, 5, 506], [57, 5, 513], [59, 5, 521], [62, 6, 529], [64, 6, 537], [67, 6, 545], [69, 6, 553],
     [71, 7, 561], [74, 7, 569], [76, 7, 576], [79, 7, 586], [81, 8, 592], [83, 8, 601], [86, 8, 609],
     [88, 9, 618], [90, 9, 624], [92, 9, 635], [94, 9, 640], [96, 9, 648], [98, 10, 656], [100, 10, 663],
     [101, 10, 671], [103, 10, 679], [104, 10, 687], [106, 10, 695], [108, 11, 703], [109, 11, 712],
     [111, 11, 719], [112, 11, 727], [114, 12, 735], [115, 12, 742], [117, 12, 752], [118, 12, 758],
     [119, 12, 768], [120, 13, 774], [121, 13, 782], [122, 13, 790], [123, 13, 798], [124, 13, 806],
     [125, 13, 814], [125, 13, 822], [126, 13, 829], [126, 13, 837], [127, 13, 846], [128, 13, 853],
     [128, 13, 861], [128, 13, 869], [129, 13, 877], [129, 13, 885], [130, 13, 893], [130, 13, 903],
     [130, 13, 908], [131, 13, 918], [131, 13, 924], [131, 14, 932], [131, 14, 957], [131, 14, 1316],
     [131, 14, 1445]],
    [[-34, -32, 0], [0, 0, 0], [0, 0, 100], [2, 0, 103], [4, 0, 111], [5, 0, 120], [7, 0, 126], [10, 0, 134],
     [13, 0, 141], [15, 0, 149], [19, 0, 157], [22, 0, 165], [25, 0, 173], [28, 0, 181], [31, 0, 189],
     [32, 0, 198], [36, 0, 205], [38, 0, 212], [42, 0, 221], [43, 0, 228], [45, 0, 236], [47, 0, 244],
     [49, 0, 254], [51, 0, 260], [53, 0, 270], [56, 0, 276], [57, 1, 283], [59, 1, 292], [61, 1, 299],
     [63, 1, 307], [65, 1, 315], [67, 2, 323], [68, 2, 331], [69, 2, 339], [70, 2, 347], [72, 2, 355],
     [73, 3, 363], [74, 3, 371], [75, 3, 378], [76, 3, 387], [77, 3, 394], [78, 3, 404], [79, 3, 410],
     [80, 4, 421], [82, 4, 426], [83, 4, 437], [84, 4, 441], [85, 4, 449], [87, 4, 457], [88, 5, 465],
     [89, 5, 473], [90, 5, 481], [92, 5, 489], [93, 5, 497], [94, 6, 505], [95, 6, 513], [96, 6, 521],
     [97, 6, 529], [98, 7, 538], [99, 7, 544], [99, 7, 554], [100, 7, 560], [101, 7, 571], [101, 7, 576],
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     [110, 9, 1343], [110, 9, 1358], [110, 9, 1375], [109, 9, 1398], [109, 9, 1413], [109, 9, 1438],
     [109, 9, 1471], [109, 9, 1733]],
    [[-40, -39, 0], [0, 0, 0], [0, 0, 152], [1, 0, 162], [2, 0, 166], [4, 0, 174], [6, 0, 181], [8, 0, 189],
     [11, 0, 198], [15, 0, 205], [18, 0, 213], [23, 0, 221], [27, 0, 229], [33, 0, 237], [39, 0, 245],
     [44, 0, 252], [50, 1, 261], [57, 1, 268], [62, 2, 278], [68, 2, 284], [74, 2, 294], [80, 3, 300],
     [85, 3, 310], [90, 4, 316], [94, 4, 324], [98, 5, 331], [101, 5, 339], [104, 5, 347], [107, 6, 355],
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     [127, 8, 418], [129, 9, 427], [130, 9, 435], [132, 9, 444], [133, 9, 450], [134, 9, 460], [135, 10, 467],
     [136, 10, 474], [137, 10, 482], [138, 10, 490], [138, 10, 498], [139, 10, 506], [139, 11, 514],
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     [142, 11, 568], [142, 11, 689], [143, 11, 697], [143, 11, 703], [144, 12, 712], [145, 12, 719],
     [146, 12, 729], [147, 12, 735], [148, 13, 744], [149, 13, 751], [149, 13, 758], [150, 14, 767],
     [150, 14, 775], [150, 14, 782], [150, 14, 790], [151, 14, 798], [151, 14, 806], [151, 14, 814],
     [151, 14, 1575], [152, 14, 1598], [152, 14, 1604], [152, 14, 1640], [152, 14, 1680], [152, 15, 1712],
     [152, 15, 1724], [152, 15, 1759], [153, 15, 1806], [153, 15, 1844], [153, 15, 1972]],
    [[-34, -31, 0], [0, 0, 0], [1, 0, 135], [1, 0, 139], [3, 0, 146], [4, 0, 154], [5, 0, 162], [7, 0, 170],
     [9, 0, 177], [10, 0, 185], [13, 0, 193], [15, 0, 201], [17, 0, 209], [20, 0, 218], [23, 0, 225],
     [25, 0, 233], [26, 0, 241], [29, 0, 251], [31, 0, 256], [33, 0, 266], [35, 0, 272], [37, 0, 283],
     [38, 0, 288], [39, 0, 296], [40, 0, 304], [41, 0, 312], [42, 0, 320], [43, 0, 327], [44, 0, 336],
     [44, 0, 343], [45, 0, 352], [46, 0, 359], [47, 0, 367], [48, 0, 375], [49, 1, 383], [50, 1, 391],
     [51, 1, 401], [52, 1, 407], [53, 1, 417], [54, 1, 423], [55, 1, 432], [56, 2, 438], [57, 2, 446],
     [58, 2, 454], [59, 2, 462], [60, 2, 470], [60, 2, 478], [61, 3, 486], [62, 3, 494], [62, 3, 502],
     [63, 3, 510], [64, 3, 518], [64, 3, 525], [65, 3, 533], [65, 3, 541], [66, 3, 550], [66, 3, 557],
     [67, 3, 567], [67, 4, 573], [68, 4, 583], [69, 4, 589], [69, 4, 596], [69, 4, 604], [70, 4, 613],
     [70, 4, 620], [70, 4, 628], [70, 4, 637], [71, 4, 652], [71, 4, 1051]],
    [[-22, -37, 0], [0, 0, 0], [0, 0, 203], [1, 0, 210], [2, 0, 218], [4, 0, 225], [6, 0, 234], [8, 0, 241],
     [12, 0, 251], [15, 0, 256], [18, 0, 268], [21, 1, 272], [26, 1, 280], [28, 2, 288], [33, 2, 296],
     [36, 3, 304], [41, 3, 312], [44, 4, 320], [48, 4, 327], [50, 4, 336], [53, 4, 343], [56, 5, 351],
     [59, 5, 359], [61, 5, 367], [63, 6, 375], [65, 6, 384], [67, 6, 391], [69, 6, 400], [70, 7, 407],
     [72, 7, 417], [74, 7, 422], [75, 7, 430], [77, 7, 438], [79, 7, 446], [80, 8, 454], [82, 8, 462],
     [83, 8, 470], [85, 8, 478], [87, 8, 486], [88, 8, 494], [89, 9, 502], [90, 9, 509], [92, 9, 518],
     [92, 9, 525], [93, 9, 534], [94, 9, 541], [95, 9, 551], [96, 9, 557], [97, 9, 567], [98, 9, 572],
     [98, 10, 580], [99, 10, 588], [100, 10, 596], [100, 10, 605], [101, 10, 612], [102, 10, 620],
     [102, 10, 628], [103, 10, 636], [104, 10, 644], [104, 10, 652], [105, 11, 660], [105, 11, 668],
     [106, 11, 675], [106, 11, 684], [107, 11, 692], [107, 11, 701], [108, 11, 707], [108, 11, 718],
     [109, 11, 723], [109, 11, 730], [109, 11, 739], [109, 11, 755], [109, 11, 1342], [109, 11, 1355],
     [109, 11, 1384], [108, 11, 1395], [108, 11, 1411], [108, 11, 1427], [108, 11, 1498], [108, 11, 1746]],
    [[-35, -24, 0], [0, 0, 0], [1, 0, 159], [2, 0, 167], [3, 0, 174], [6, 0, 183], [8, 0, 191], [11, 0, 198],
     [14, 0, 206], [18, 0, 214], [21, 0, 223], [26, 0, 231], [30, 0, 238], [34, 0, 248], [38, 0, 254],
     [43, 0, 264], [46, 0, 269], [49, 1, 278], [53, 1, 285], [57, 1, 294], [59, 2, 301], [62, 3, 310],
     [64, 3, 317], [67, 3, 326], [69, 3, 332], [71, 4, 341], [74, 4, 349], [76, 4, 356], [77, 5, 364],
     [79, 5, 372], [80, 5, 381], [82, 5, 389], [83, 6, 398], [84, 6, 404], [85, 6, 413], [86, 6, 419],
     [87, 7, 429], [87, 7, 435], [88, 7, 444], [89, 7, 451], [90, 7, 459], [91, 7, 467], [93, 7, 475],
     [94, 8, 482], [96, 8, 492], [98, 8, 499], [100, 8, 506], [101, 8, 515], [103, 9, 522], [104, 9, 531],
     [106, 9, 538], [107, 9, 548], [108, 9, 553], [109, 9, 562], [110, 9, 569], [111, 9, 578], [111, 9, 585],
     [111, 9, 594], [111, 9, 601], [112, 9, 609], [112, 9, 617], [112, 9, 625], [112, 9, 910], [113, 9, 917],
     [113, 9, 926], [113, 9, 933], [114, 9, 942], [115, 10, 949], [115, 10, 957], [115, 10, 965],
     [116, 10, 972], [116, 10, 982], [116, 10, 989], [117, 10, 998], [117, 10, 1012], [117, 10, 1027],
     [117, 10, 1210], [116, 10, 1242], [116, 10, 1249], [116, 10, 1266], [116, 10, 1282], [115, 10, 1299],
     [115, 10, 1320], [115, 10, 1689]],
    [[-40, -37, 0], [0, 0, 0], [1, 0, 135], [2, 0, 143], [4, 0, 151], [6, 0, 159], [9, 0, 166], [12, 0, 174],
     [16, 0, 182], [20, 0, 190], [25, 0, 198], [30, 0, 206], [35, 0, 215], [39, 0, 222], [44, 0, 229],
     [50, 0, 238], [56, 0, 246], [62, 0, 253], [67, 0, 261], [73, 0, 269], [78, 0, 277], [83, 1, 285],
     [87, 1, 293], [89, 1, 301], [96, 2, 308], [97, 2, 316], [102, 2, 325], [104, 3, 333], [106, 3, 342],
     [109, 3, 350], [111, 4, 356], [113, 4, 366], [115, 4, 372], [117, 5, 383], [119, 5, 388], [121, 5, 397],
     [123, 6, 404], [125, 7, 412], [128, 7, 419], [130, 8, 428], [133, 9, 435], [136, 9, 443], [137, 9, 451],
     [140, 10, 459], [143, 11, 467], [145, 11, 474], [147, 12, 483], [149, 12, 492], [151, 13, 500],
     [152, 13, 507], [154, 13, 516], [155, 14, 522], [156, 14, 533], [157, 14, 538], [158, 14, 546],
     [158, 14, 554], [159, 14, 563], [160, 15, 570], [160, 15, 580], [160, 15, 586], [160, 15, 596],
     [161, 15, 601], [161, 15, 609], [161, 15, 823], [161, 15, 830], [162, 15, 838], [162, 15, 846],
     [163, 15, 854], [164, 15, 862], [164, 15, 869], [165, 15, 878], [165, 15, 886], [166, 15, 894],
     [166, 15, 901], [166, 15, 909], [166, 15, 933], [166, 15, 1389]],
    [[-36, -31, 0], [0, 0, 0], [1, 0, 134], [3, 0, 140], [5, 0, 149], [7, 0, 155], [13, 0, 164], [17, 0, 171],
     [19, 0, 179], [25, 0, 187], [30, 1, 197], [35, 2, 203], [40, 3, 214], [49, 5, 219], [52, 5, 228],
     [58, 7, 235], [63, 7, 244], [69, 8, 251], [75, 9, 259], [79, 10, 267], [84, 10, 275], [88, 11, 283],
     [93, 12, 290], [97, 12, 300], [101, 13, 306], [106, 13, 314], [109, 14, 322], [111, 14, 329],
     [114, 14, 338], [117, 15, 347], [119, 15, 353], [122, 15, 362], [124, 16, 369], [125, 16, 378],
     [127, 16, 385], [129, 16, 394], [131, 17, 401], [132, 17, 409], [134, 17, 417], [135, 17, 425],
     [137, 17, 434], [139, 18, 441], [139, 18, 451], [141, 18, 456], [142, 18, 465], [143, 18, 472],
     [143, 18, 480], [144, 18, 488], [145, 18, 497], [146, 19, 503], [146, 19, 513], [147, 19, 520],
     [147, 19, 528], [148, 19, 535], [149, 19, 544], [149, 19, 551], [149, 19, 559], [149, 19, 569],
     [150, 19, 574], [150, 19, 583], [150, 19, 591], [150, 19, 804], [149, 19, 820], [149, 19, 828],
     [149, 19, 845], [149, 19, 851], [148, 19, 859], [148, 19, 875], [148, 19, 884], [148, 20, 890],
     [147, 20, 906], [147, 20, 922], [147, 20, 948], [147, 20, 985], [146, 20, 1025], [146, 20, 1065],
     [146, 20, 1096], [146, 20, 1175], [146, 20, 1207], [145, 20, 1262], [145, 20, 1309], [145, 20, 1772]],
    [[-42, -40, 0], [0, 0, 0], [0, 0, 1], [0, 0, 142], [1, 0, 150], [3, 0, 157], [4, 0, 166], [6, 0, 172],
     [9, 0, 180], [13, 0, 188], [17, 0, 196], [21, 0, 204], [25, 0, 212], [29, 0, 220], [34, 0, 230],
     [40, 0, 236], [44, 0, 245], [49, 0, 251], [55, 1, 261], [58, 1, 267], [60, 1, 277], [63, 2, 283],
     [66, 2, 291], [69, 2, 299], [71, 3, 306], [73, 3, 317], [74, 4, 324], [76, 4, 333], [77, 4, 339],
     [78, 4, 346], [79, 5, 354], [80, 5, 362], [81, 5, 370], [82, 5, 379], [84, 5, 386], [85, 6, 394],
     [86, 6, 402], [88, 6, 410], [89, 6, 418], [90, 6, 427], [91, 6, 435], [92, 6, 441], [93, 6, 450],
     [94, 7, 457], [95, 7, 466], [95, 7, 473], [96, 7, 483], [97, 7, 489], [97, 7, 497], [97, 7, 504],
     [98, 7, 513], [98, 7, 521], [98, 7, 528], [98, 7, 536], [99, 7, 552], [99, 7, 608], [99, 7, 655],
     [99, 7, 664], [100, 7, 670], [100, 7, 680], [100, 7, 686], [101, 7, 695], [101, 7, 702], [102, 7, 711],
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     [107, 7, 1311], [108, 7, 1351], [108, 7, 1390], [108, 8, 1405], [108, 8, 1430], [108, 8, 1469],
     [108, 8, 1525], [108, 8, 1791]],
    [[-47, -29, 0], [0, 0, 0], [1, 0, 152], [3, 0, 158], [6, 0, 166], [9, 0, 173], [13, 0, 181], [22, 0, 190],
     [27, 0, 198], [30, 0, 206], [36, 0, 214], [42, 0, 223], [49, 0, 229], [55, 0, 238], [60, 0, 244],
     [66, 0, 252], [73, 0, 260], [78, 0, 268], [83, 0, 276], [85, 0, 285], [89, 0, 292], [92, 0, 301],
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     [110, -1, 363], [111, -1, 373], [112, -1, 379], [113, -1, 389], [114, -1, 394], [115, -1, 406],
     [115, -1, 411], [116, -1, 419], [116, -1, 427], [117, -1, 434], [117, -2, 442], [117, -2, 450],
     [117, -2, 458], [118, -2, 474], [118, -2, 505], [118, -2, 539], [118, -2, 570], [118, -2, 592],
     [119, -2, 617], [119, -2, 657], [119, -2, 711], [119, -2, 937]],
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     [114, 2, 1648]],
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     [171, -3, 692], [171, -3, 701], [171, -3, 709], [172, -3, 716], [172, -3, 726], [172, -3, 772],
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     [176, -3, 1039], [176, -3, 1047], [176, -3, 1055], [176, -3, 1063], [177, -3, 1071], [176, -3, 1387],
     [176, -3, 1692]],
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     [181, 9, 1060], [181, 9, 1067], [181, 9, 1076], [182, 9, 1083], [182, 9, 1092], [182, 9, 1099],
     [182, 9, 1628]],
    [[-40, -27, 0], [0, 0, 0], [0, 0, 193], [0, 0, 200], [1, 0, 206], [2, 0, 215], [3, 0, 222], [5, 0, 232],
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     [51, 0, 973], [51, 0, 1188], [51, 0, 1207]],
    [[-44, -24, 0], [0, 0, 0], [0, 0, 2], [0, 0, 141], [2, 0, 149], [4, 0, 157], [6, 0, 166], [9, 0, 173],
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     [88, 0, 607], [88, 1, 617], [88, 1, 1055]],
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     [121, 6, 1492], [121, 6, 1609]],
    [[-44, -32, 0], [0, 0, 0], [0, 0, 206], [1, 0, 213], [3, 0, 223], [5, 0, 227], [8, 0, 236], [10, 0, 243],
     [13, 0, 252], [16, 0, 259], [19, 0, 267], [22, 0, 274], [25, 0, 284], [28, 0, 291], [32, 0, 299],
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     [105, 6, 1793], [105, 6, 1842], [105, 6, 2138]],
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     [14, 0, 252], [17, 0, 260], [21, 0, 269], [25, 0, 276], [28, 0, 284], [31, 0, 291], [34, 0, 300],
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     [82, -3, 995], [82, -3, 1059], [83, -3, 1108], [83, -3, 1452]],
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    [[-49, -23, 0], [0, 0, 0], [1, 0, 231], [3, 0, 240], [5, 0, 247], [8, 0, 254], [15, 0, 264], [18, 0, 270],
     [24, 0, 280], [30, 0, 286], [37, 0, 297], [44, 0, 302], [50, 0, 311], [56, 1, 318], [62, 1, 326],
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     [143, 4, 887], [144, 4, 912], [144, 4, 927], [144, 4, 942], [144, 4, 950], [145, 4, 957], [145, 4, 965],
     [146, 4, 974], [146, 4, 981], [147, 4, 989], [147, 4, 998], [147, 4, 1005], [148, 4, 1014],
     [148, 4, 1021], [148, 4, 1031], [149, 4, 1047], [149, 4, 1052], [149, 4, 1125], [149, 4, 1188],
     [149, 4, 1266], [149, 4, 1500]],
    [[-31, -37, 0], [0, 0, 0], [1, 0, 153], [2, 0, 161], [5, 0, 168], [8, 0, 177], [12, 0, 184], [15, 0, 192],
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     [35, 0, 256], [37, 0, 263], [38, 0, 271], [39, 0, 279], [40, 0, 287], [41, 0, 295], [42, 0, 304],
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     [56, 1, 423], [58, 1, 430], [59, 1, 438], [60, 1, 446], [61, 1, 454], [63, 1, 461], [64, 1, 471],
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     [84, 1, 880], [84, 1, 889], [85, 1, 896], [85, 1, 905], [85, 1, 912], [85, 1, 920], [86, 1, 928],
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     [90, -6, 1317], [90, -6, 1372], [90, -6, 1443]],
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     [75, 0, 1544], [75, 0, 1628]],
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     [154, 10, 933], [154, 10, 1270]],
    [[-42, -26, 0], [0, 0, 0], [1, 0, 195], [2, 0, 212], [6, 0, 217], [8, 0, 227], [11, 0, 232], [14, 0, 241],
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     [78, 0, 608], [78, 0, 611], [78, 0, 627], [78, 0, 652], [78, 0, 1007], [78, 0, 1055], [78, 0, 1079]],
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     [123, 1, 1637]],
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     [176, -17, 1383]],
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     [106, -1, 1099]],
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     [92, -5, 865], [92, -5, 911], [92, -5, 935], [92, -5, 1090]],
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     [65, -1, 1187]],
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     [166, 3, 1847]],
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    [[-35, -34, 0], [0, 0, 0], [0, 0, 14], [0, 0, 144], [2, 0, 150], [4, 0, 157], [8, 0, 176], [10, 0, 192],
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     [78, -2, 1555], [78, -2, 1574], [77, -2, 1594], [77, -2, 1613]],
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     [115, -1, 1279], [115, -1, 1296]],
    [[-32, -30, 0], [0, 0, 0], [1, 0, 119], [8, 0, 144], [19, 0, 164], [21, 0, 165], [32, 0, 182],
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     [162, -5, 1123], [162, -5, 1193], [162, -5, 1389]],
    [[-36, -18, 0], [0, 0, 0], [0, 0, 129], [6, 0, 152], [13, 0, 171], [27, 0, 191], [36, 0, 211],
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     [83, -5, 801], [82, -5, 821], [82, -5, 822], [81, -5, 842], [80, -4, 865], [79, -4, 888], [79, -4, 909],
     [78, -4, 1449], [78, -4, 1527], [78, -4, 1557], [78, -4, 1585], [77, -4, 1603], [77, -4, 1636],
     [77, -4, 1846]],
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     [101, -1, 756], [102, -1, 757], [102, -1, 778], [102, -1, 800], [102, -1, 1215]],
    [[-31, -40, 0], [0, 0, 0], [0, 0, 119], [1, 0, 128], [5, 0, 152], [11, 0, 174], [15, 0, 196],
     [20, 0, 219], [25, 0, 241], [30, 0, 261], [35, 0, 284], [37, -1, 306], [39, -1, 307], [41, -2, 329],
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     [63, -6, 1425], [64, -6, 1448], [64, -6, 1470], [63, -6, 1556], [62, -6, 1565], [60, -6, 1586],
     [60, -6, 1607]],
    [[-32, -14, 0], [0, 0, 0], [0, 0, 135], [2, 0, 144], [11, 0, 168], [23, 0, 190], [38, 0, 214],
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     [112, -6, 685], [111, -5, 708], [109, -5, 731], [107, -4, 760], [106, -3, 788], [105, -3, 815],
     [105, -3, 836], [105, -3, 869], [104, -3, 899], [104, -3, 922], [104, -3, 980], [104, -3, 1015],
     [103, -3, 1043], [103, -3, 1074], [103, -2, 1099], [103, -2, 1106], [103, -2, 1135], [102, -2, 1156],
     [102, -2, 1179], [102, -2, 1201], [102, -2, 1222], [101, -2, 1245], [101, -2, 1283], [101, -2, 1329],
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     [98, -2, 1910], [98, -3, 1933], [97, -3, 1944], [98, -3, 2232], [98, -3, 2237], [98, -3, 2245],
     [99, -2, 2270], [99, -2, 2290]],
    [[-37, -29, 0], [0, 0, 0], [0, 0, 98], [3, 0, 102], [7, 0, 111], [17, 0, 136], [30, 0, 157], [42, 0, 181],
     [51, 0, 204], [57, 0, 227], [60, 0, 228], [70, 0, 253], [80, 0, 276], [87, 0, 299], [91, 0, 300],
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     [141, -5, 1003], [142, -5, 1025], [142, -5, 1050], [142, -5, 1199]],
    [[-44, -24, 0], [0, 0, 0], [0, 0, 28], [0, 0, 122], [4, 0, 130], [14, 0, 158], [36, 0, 186], [44, 0, 199],
     [56, 0, 220], [69, 0, 243], [85, 0, 280], [92, 0, 304], [95, -1, 339], [98, -2, 359], [103, -3, 384],
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     [119, -8, 972], [119, -8, 994], [118, -8, 1018], [118, -8, 1042], [118, -8, 1070], [117, -8, 1110],
     [117, -8, 1140], [117, -8, 1148], [117, -8, 1376]],
    [[-41, -25, 0], [0, 0, 0], [0, 0, 129], [2, 0, 136], [10, 0, 161], [23, 0, 186], [37, 0, 211],
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     [129, -6, 974], [129, -6, 1023], [129, -6, 1077], [129, -6, 1383]],
    [[-31, -31, 0], [0, 0, 0], [1, 0, 146], [3, 0, 154], [18, 0, 185], [33, 0, 211], [49, 0, 236],
     [65, 0, 260], [77, 0, 286], [91, 0, 312], [95, 0, 314], [107, 0, 340], [118, -1, 366], [121, -1, 367],
     [129, -2, 394], [136, -3, 420], [141, -3, 446], [142, -4, 447], [144, -4, 473], [145, -4, 499],
     [145, -4, 527], [146, -4, 556], [146, -4, 557], [147, -4, 585], [150, -5, 614], [151, -5, 640],
     [152, -5, 667], [152, -5, 668], [152, -5, 1093]],
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     [82, 0, 1276]],
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     [71, 0, 431], [72, 0, 460], [73, 0, 462], [73, 0, 492], [74, 0, 493], [74, 0, 870]],
    [[-44, -32, 0], [0, 0, 0], [0, 0, 109], [3, 0, 117], [20, 0, 147], [37, 0, 175], [58, 0, 204],
     [67, 0, 232], [70, 0, 234], [79, 0, 263], [87, 0, 292], [93, 0, 320], [95, 0, 322], [101, 0, 351],
     [102, 0, 352], [109, 0, 384], [114, 0, 414], [115, 0, 416], [119, 0, 443], [121, 0, 474], [122, 0, 504],
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     [125, 0, 1031], [125, 0, 1032], [125, 0, 1059], [124, 0, 1088], [124, 0, 1116], [124, 0, 1174],
     [124, 0, 1218], [123, 0, 1255], [123, 0, 1402]],
    [[-29, -20, 0], [0, 0, 0], [0, 0, 28], [1, 0, 166], [15, 0, 204], [28, 0, 233], [44, 0, 263],
     [56, 0, 295], [67, 1, 326], [76, 1, 359], [85, 1, 390], [92, 1, 420], [98, 1, 451], [105, 1, 481],
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     [109, 2, 1092], [109, 3, 1122], [109, 3, 1152], [109, 3, 1184], [108, 3, 1214], [108, 3, 1245],
     [108, 3, 1411]],
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     [30, 0, 322], [36, -1, 351], [42, -2, 386], [49, -3, 415], [54, -5, 446], [56, -5, 478], [58, -6, 509],
     [60, -6, 543], [62, -7, 575], [63, -7, 577], [66, -7, 608], [67, -7, 609], [69, -8, 642], [70, -8, 672],
     [70, -8, 926], [70, -8, 1188], [69, -8, 1218], [69, -8, 1250]],
    [[-38, -32, 0], [0, 0, 0], [0, 0, 153], [2, 0, 161], [9, 0, 196], [21, 0, 227], [35, 0, 261],
     [46, 0, 294], [49, 0, 296], [58, 0, 329], [65, 0, 363], [71, 1, 399], [73, 1, 432], [74, 1, 465],
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     [107, 7, 1410], [108, 7, 1449], [108, 7, 1633], [108, 7, 1668], [108, 7, 1701], [109, 7, 1757],
     [108, 7, 1988], [108, 7, 2034], [108, 7, 2035], [107, 7, 2064], [107, 7, 2095]],
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     [57, 0, 284], [60, 0, 315], [63, 0, 346], [67, 0, 378], [72, 0, 410], [77, -1, 441], [80, -1, 472],
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     [88, -2, 685], [88, -2, 717], [88, -2, 1012], [88, -2, 1018], [89, -2, 1025], [89, -2, 1056],
     [90, -2, 1085], [90, -2, 1118], [90, -2, 1147], [91, -2, 1177], [91, -2, 1208], [91, -2, 1239],
     [91, -2, 1271], [91, -2, 1308], [91, -1, 1387], [91, -1, 1472]],
    [[-46, -18, 0], [0, 0, 0], [0, 0, 94], [2, 0, 99], [5, 0, 107], [27, 0, 146], [42, 0, 166], [57, 0, 197],
     [66, 0, 230], [71, 0, 276], [71, 0, 301], [71, 0, 333], [71, 0, 368], [72, 0, 401], [74, 0, 435],
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     [81, -1, 889], [81, -1, 922], [82, -1, 955], [83, -1, 988], [83, -1, 1021], [83, -1, 1023],
     [84, -1, 1071], [84, -1, 1111], [84, -1, 1157], [84, -1, 1159], [85, -1, 1191], [85, -1, 1222],
     [85, -1, 1256], [86, -1, 1288], [86, -1, 1325], [86, -1, 1357], [87, -1, 1390], [87, -1, 1423],
     [87, -1, 1540]],
    [[-26, -20, 0], [0, 0, 0], [0, 0, 124], [11, 0, 164], [25, 0, 196], [28, 0, 204], [41, 0, 248],
     [45, 0, 260], [51, 0, 294], [52, 0, 321], [55, 0, 354], [56, -1, 388], [56, -1, 421], [57, -1, 453],
     [58, -1, 502], [59, -1, 536], [60, -1, 569], [60, -1, 603], [61, -1, 636], [60, -1, 931],
     [60, -1, 1116]],
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     [53, 0, 292], [62, 0, 330], [71, -1, 369], [79, -2, 408], [87, -3, 446], [95, -4, 483], [96, -4, 485],
     [102, -5, 521], [106, -5, 556], [107, -5, 595], [107, -5, 633], [107, -5, 668], [108, -5, 705],
     [108, -5, 1027]],
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     [175, -11, 681], [176, -11, 682], [177, -11, 721], [177, -11, 1076], [177, -11, 1175]],
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     [86, 0, 209], [93, 0, 243], [104, 0, 275], [112, -1, 312], [115, -1, 349], [116, -1, 351],
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     [126, -4, 740], [126, -3, 776], [125, -3, 815], [124, -3, 850], [124, -3, 888], [123, -3, 925],
     [123, -3, 966], [123, -3, 1177]],
    [[-29, -25, 0], [0, 0, 0], [1, 0, 109], [16, 0, 152], [39, 0, 192], [66, 0, 229], [86, 0, 268],
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     [140, -3, 1090], [139, -3, 1125], [138, -2, 1160], [138, -2, 1194], [137, -2, 1232], [137, -2, 1269],
     [137, -2, 1305], [136, -2, 1342], [136, -2, 1380], [136, -2, 1579], [137, -2, 1635], [137, -2, 1637]],
    [[-34, -34, 0], [0, 0, 0], [0, 0, 135], [16, 0, 174], [38, 0, 211], [57, 0, 251], [70, 0, 290],
     [80, 0, 327], [83, 0, 329], [91, 0, 368], [92, 0, 370], [98, 0, 409], [101, 0, 449], [102, 0, 489],
     [102, 0, 527], [102, 0, 901], [102, 0, 941]],
    [[-28, -29, 0], [0, 0, 0], [0, 0, 127], [1, 0, 135], [12, 0, 179], [42, 0, 217], [76, 0, 256],
     [111, 0, 296], [136, 0, 337], [151, 0, 381], [156, 0, 421], [158, 0, 460], [159, 0, 502], [163, -1, 547],
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     [168, 0, 1535], [168, 0, 1622], [168, 0, 1696]],
    [[-13, -28, 0], [0, 0, 0], [0, 0, 40], [0, 0, 167], [2, 0, 175], [3, 0, 182], [14, 0, 222], [32, 0, 263],
     [52, 0, 305], [70, 0, 349], [78, 0, 390], [83, -1, 432], [84, -1, 435], [88, -1, 479], [92, -1, 523],
     [94, -1, 565], [95, -1, 605], [95, -1, 647], [95, -1, 849], [98, -1, 891], [100, -1, 932],
     [100, -1, 934], [101, -1, 974], [101, -1, 1238]],
    [[-36, -32, 0], [0, 0, 0], [1, 0, 207], [3, 0, 214], [21, 0, 301], [57, 0, 310], [96, 0, 358],
     [109, 0, 398], [128, 0, 439], [143, 0, 497], [153, 0, 531], [163, 0, 572], [170, -1, 612],
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     [172, -1, 1235], [172, -1, 1273], [171, -1, 1311], [171, -1, 1351], [171, -1, 1352], [170, -1, 1393],
     [170, -1, 1439], [170, -1, 1676]],
    [[-34, -33, 0], [0, 0, 0], [0, 0, 37], [1, 0, 131], [14, 0, 171], [39, 0, 213], [43, 0, 215],
     [68, 0, 256], [88, 0, 299], [93, 0, 301], [108, 1, 345], [119, 2, 386], [120, 2, 387], [125, 3, 430],
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     [150, 6, 1738], [150, 6, 1780], [150, 6, 1821], [150, 6, 1862], [150, 6, 2069]],
    [[-47, -43, 0], [0, 0, 0], [1, 0, 143], [14, 0, 185], [39, 0, 235], [60, 0, 261], [74, 0, 304],
     [88, 0, 350], [97, 0, 417], [110, 0, 466], [129, 0, 519], [132, 0, 563], [133, 0, 601], [133, 0, 767],
     [133, 0, 775], [131, 0, 818], [125, 1, 860], [122, 2, 862], [114, 3, 904], [109, 4, 951], [108, 4, 992],
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     [111, 4, 1484], [111, 4, 1529], [111, 4, 1697]],
    [[-31, -32, 0], [0, 0, 0], [0, 0, 154], [1, 0, 165], [8, 0, 209], [16, 0, 252], [24, 0, 294],
     [25, 0, 295], [30, 0, 341], [33, 0, 385], [37, 0, 428], [37, 0, 431], [41, 0, 474], [43, 0, 521],
     [44, 0, 565], [44, 0, 609], [46, 0, 654], [50, 0, 698], [50, 0, 700], [52, 0, 745], [52, 0, 1139]],
    [[-39, -37, 0], [0, 0, 0], [0, 0, 127], [2, 0, 135], [15, 0, 178], [44, 0, 231], [61, 0, 258],
     [77, 0, 299], [99, -2, 349], [119, -4, 418], [132, -5, 477], [141, -5, 565], [142, -5, 611],
     [142, -5, 1113]],
    [[-37, -32, 0], [0, 0, 0], [1, 0, 116], [2, 0, 124], [27, 0, 180], [54, 0, 235], [74, 0, 290],
     [80, -2, 336], [81, -2, 337], [82, -2, 380], [82, -2, 424], [85, -2, 467], [89, -3, 514], [90, -3, 562],
     [90, -3, 949]],
    [[-22, -28, 0], [0, 0, 0], [0, 0, 186], [9, 0, 236], [30, 0, 283], [52, 0, 331], [74, 0, 378],
     [87, 0, 425], [95, 0, 468], [96, 0, 470], [100, 0, 520], [101, 0, 567], [101, 0, 614], [101, 0, 769],
     [98, 1, 820], [96, 1, 864], [95, 1, 908], [94, 2, 953], [93, 2, 1001], [92, 3, 1047], [92, 3, 1096],
     [92, 3, 1146], [92, 3, 1196], [92, 3, 1235], [92, 3, 1421]],
    [[-43, -32, 0], [0, 0, 0], [0, 0, 43], [0, 0, 135], [1, 0, 141], [13, 0, 193], [37, 0, 251], [64, 0, 278],
     [84, 0, 323], [109, -1, 374], [123, -2, 450], [125, -2, 490], [125, -2, 832], [123, -2, 880],
     [122, -2, 926], [120, -2, 974], [120, -2, 1023], [119, -2, 1072], [119, -2, 1120], [117, -1, 1173],
     [115, -1, 1224], [115, -1, 1275], [114, -1, 1323], [114, -1, 1694]],
    [[-40, -38, 0], [0, 0, 0], [1, 0, 141], [3, 0, 149], [30, 0, 206], [49, 0, 233], [64, 0, 281],
     [88, -2, 336], [108, -6, 408], [113, -7, 461], [117, -8, 535], [117, -9, 582], [118, -9, 641],
     [127, -9, 701], [129, -10, 703], [136, -10, 768], [137, -10, 830], [137, -10, 1097], [142, -10, 1148],
     [146, -10, 1194], [146, -10, 1243], [147, -10, 1630], [147, -10, 1638], [147, -10, 1686],
     [147, -10, 1754], [148, -10, 1802], [148, -10, 1880], [148, -10, 1955]],
    [[-39, -40, 0], [0, 0, 0], [1, 0, 118], [20, 0, 166], [51, 0, 221], [68, 0, 249], [80, 0, 294],
     [97, -1, 346], [101, -2, 421], [105, -3, 463], [112, -4, 512], [113, -4, 558], [114, -4, 606],
     [114, -4, 923], [114, -4, 962], [113, -4, 1016], [113, -4, 1062], [112, -3, 1114], [112, -3, 1166],
     [112, -3, 1321]],
    [[-50, -32, 0], [0, 0, 0], [0, 0, 98], [15, 0, 149], [18, 0, 160], [53, 0, 223], [69, 0, 257],
     [92, 0, 294], [112, 0, 328], [128, 0, 366], [136, 0, 416], [140, -1, 459], [140, -1, 510],
     [140, -1, 939]],
    [[-31, -34, 0], [0, 0, 0], [1, 0, 78], [4, 0, 88], [32, 0, 138], [65, 0, 190], [81, 0, 242], [92, 0, 292],
     [93, 0, 293], [106, 0, 345], [108, 0, 348], [118, -1, 399], [119, -1, 403], [122, -2, 453],
     [122, -2, 505], [123, -2, 558], [123, -2, 608], [123, -2, 659], [124, -2, 709], [124, -2, 760],
     [124, -2, 811], [125, -2, 862], [124, -2, 1066], [124, -2, 1120]],
    [[-40, -41, 0], [0, 0, 0], [0, 0, 44], [1, 0, 155], [2, 0, 161], [4, 0, 168], [31, 0, 228], [60, 0, 259],
     [86, 0, 296], [100, 0, 347], [118, 1, 401], [122, 1, 482], [133, 1, 531], [138, 1, 582], [139, 1, 635],
     [139, 1, 705], [139, 1, 766], [139, 1, 817], [139, 1, 868], [140, 1, 922], [145, 2, 976], [148, 2, 1029],
     [149, 2, 1080], [148, 2, 1345], [147, 2, 1401], [146, 2, 1452], [146, 2, 1502], [146, 2, 1504],
     [145, 2, 1553], [145, 3, 1607], [144, 3, 1657], [144, 3, 1710], [144, 3, 1781], [144, 3, 1845]],
    [[-25, -45, 0], [0, 0, 0], [0, 0, 166], [2, 0, 172], [4, 0, 182], [6, 0, 189], [41, 0, 244], [52, 0, 322],
     [96, 0, 397], [97, 0, 447], [98, 0, 495], [98, 0, 546], [98, 0, 712], [95, 0, 764], [95, 0, 766],
     [90, 1, 817], [89, 1, 820], [84, 3, 870], [82, 3, 921], [82, 3, 986], [82, 3, 1025], [82, 3, 1082],
     [81, 3, 1131], [81, 3, 1184], [81, 3, 1235], [80, 3, 1286], [80, 3, 1337], [80, 3, 1391], [79, 3, 1441],
     [79, 3, 1496], [79, 3, 1548], [79, 3, 1602], [78, 3, 1667], [78, 3, 1720], [78, 3, 1780], [78, 3, 1832],
     [77, 3, 1886], [77, 3, 1953], [77, 3, 2004], [77, 3, 2370], [77, 3, 2383]],
    [[-33, -25, 0], [0, 0, 0], [0, 0, 154], [10, 0, 208], [23, 0, 262], [30, 0, 315], [30, 0, 317],
     [33, 0, 370], [33, 0, 372], [34, 0, 427], [36, 0, 479], [36, 0, 482], [38, 0, 538], [38, 0, 608],
     [38, 0, 673], [39, 0, 730], [43, 0, 784], [45, 0, 837], [45, 0, 838], [46, 0, 893], [47, 0, 946],
     [47, 0, 1001], [47, 0, 1053], [47, 0, 1108], [48, 0, 1161], [48, 0, 1217], [49, 0, 1270], [49, 0, 1326],
     [49, 0, 1382], [49, 0, 1477], [48, 0, 1542], [48, 0, 1543]],
    [[-31, -33, 0], [0, 0, 0], [0, 0, 157], [2, 0, 164], [22, 0, 223], [51, 0, 276], [78, 0, 330],
     [90, 0, 384], [92, 0, 387], [97, 0, 443], [97, 0, 497], [98, 0, 555], [103, 0, 609], [113, 1, 667],
     [114, 1, 670], [118, 1, 724], [118, 1, 726], [118, 2, 782], [118, 2, 837], [119, 2, 987], [124, 2, 1040],
     [125, 2, 1042], [129, 2, 1120], [129, 2, 1497]],
    [[-44, -35, 0], [0, 0, 0], [0, 0, 110], [0, 0, 115], [2, 0, 123], [28, 0, 189], [60, 0, 222],
     [90, 0, 261], [108, 0, 313], [119, 0, 370], [121, 0, 454], [130, 0, 507], [132, 0, 580], [133, 0, 604],
     [137, -1, 707], [137, -1, 709], [137, -1, 1123]],
    [[-42, -38, 0], [0, 0, 0], [0, 0, 106], [26, 0, 172], [60, 0, 203], [91, 0, 242], [93, 0, 245],
     [106, 0, 298], [110, 0, 348], [112, 0, 403], [113, 0, 405], [121, 0, 459], [122, 0, 514], [123, 0, 888],
     [123, 0, 945], [124, 0, 1005], [125, 0, 1061], [125, 0, 1115], [125, 0, 1268]],
    [[-30, -40, 0], [0, 0, 0], [0, 0, 50], [1, 0, 98], [28, 0, 154], [71, 0, 222], [99, 0, 256],
     [110, 0, 311], [114, 0, 360], [115, 0, 418], [117, 0, 475], [127, 1, 534], [130, 1, 590], [130, 2, 649],
     [130, 2, 999], [131, 2, 1056], [132, 2, 1112], [132, 2, 1114], [132, 2, 1170], [132, 2, 1225],
     [133, 3, 1284], [133, 3, 1338], [133, 3, 1351], [133, 3, 1458]],
    [[-48, -28, 0], [0, 0, 0], [1, 0, 137], [3, 0, 146], [44, 0, 210], [80, 0, 242], [103, 0, 283],
     [114, 0, 337], [116, 0, 386], [116, 0, 446], [118, 0, 504], [120, 0, 560], [119, 0, 728], [118, 0, 786],
     [116, 1, 842], [110, 2, 897], [107, 3, 953], [106, 3, 1007], [106, 3, 1301], [107, 3, 1371],
     [108, 3, 1425], [109, 3, 1481], [110, 3, 1536], [110, 3, 1590], [111, 3, 1643], [111, 3, 1703],
     [111, 3, 1791]],
    [[-36, -28, 0], [0, 0, 0], [0, 0, 49], [0, 0, 123], [1, 0, 132], [36, 0, 200], [102, 0, 232],
     [151, 0, 272], [158, 0, 274], [171, 0, 332], [174, 0, 385], [174, 0, 442], [174, 0, 500], [174, 0, 739],
     [174, 0, 747], [172, 0, 806], [169, 1, 865], [168, 1, 867], [165, 1, 926], [165, 1, 982], [164, 1, 1173],
     [164, 1, 1240], [163, 1, 1298], [163, 1, 1552]],
    [[-32, -37, 0], [0, 0, 0], [1, 0, 129], [2, 0, 137], [33, 0, 197], [36, 0, 210], [89, 0, 283],
     [105, 1, 341], [123, 1, 406], [130, 1, 496], [130, 1, 546], [131, 1, 606], [136, 1, 668], [137, 1, 730],
     [137, 1, 790], [139, 1, 849], [142, 1, 909], [142, 1, 911], [142, 1, 971], [143, 1, 1030],
     [144, 1, 1091], [145, 1, 1093], [145, 1, 1153], [145, 1, 1212], [145, 1, 1368], [146, 1, 1430],
     [146, 1, 1432], [146, 1, 1601]],
    [[-35, -34, 0], [0, 0, 0], [0, 0, 116], [1, 0, 121], [2, 0, 128], [27, 0, 191], [33, 0, 193],
     [56, 0, 255], [60, 0, 314], [60, 0, 373], [61, 0, 435], [66, 0, 493], [68, 0, 555], [68, 0, 616],
     [68, 0, 618], [73, 0, 680], [74, 0, 683], [77, 0, 743], [77, 0, 745], [78, 0, 804], [78, 0, 1087]],
    [[-40, -27, 0], [0, 0, 0], [1, 0, 100], [3, 0, 108], [7, 0, 113], [32, 0, 173], [43, 0, 235],
     [44, 0, 298], [47, 0, 361], [53, 0, 422], [55, 0, 484], [55, 1, 486], [60, 2, 552], [60, 2, 555],
     [65, 3, 614], [71, 3, 678], [72, 3, 739], [72, 3, 934], [72, 3, 942], [76, 3, 1008], [76, 3, 1065],
     [76, 3, 1297]],
    [[-24, -32, 0], [0, 0, 0], [0, 0, 2], [0, 0, 184], [2, 0, 192], [4, 0, 198], [5, 0, 206], [8, 0, 214],
     [10, 0, 222], [14, 0, 230], [17, 0, 239], [21, 0, 247], [24, 0, 255], [25, 0, 263], [28, 0, 270],
     [33, 0, 278], [36, 0, 286], [38, 0, 296], [41, 0, 302], [43, 0, 313], [46, 0, 317], [48, 0, 329],
     [51, 0, 332], [53, 0, 342], [55, 0, 348], [57, 0, 358], [59, 0, 365], [60, 0, 372], [62, 0, 380],
     [63, -1, 388], [64, -1, 396], [65, -1, 405], [67, -1, 413], [68, -1, 421], [69, -2, 429], [70, -2, 437],
     [71, -2, 447], [72, -2, 451], [73, -2, 463], [74, -2, 467], [75, -2, 478], [75, -2, 483], [76, -2, 491],
     [76, -2, 499], [76, -2, 506], [77, -2, 514], [77, -2, 523], [77, -2, 538], [77, -3, 571], [78, -3, 579],
     [78, -3, 585], [78, -3, 595], [79, -3, 601], [80, -3, 613], [81, -3, 617], [82, -3, 626], [84, -3, 633],
     [85, -3, 641], [86, -3, 648], [87, -3, 658], [88, -3, 665], [89, -3, 674], [90, -3, 681], [91, -3, 689],
     [91, -3, 697], [92, -3, 704], [92, -3, 714], [92, -3, 720], [92, -3, 731], [93, -3, 736], [93, -3, 746],
     [93, -3, 753], [93, -3, 807], [94, -3, 831], [94, -3, 840], [94, -3, 847], [94, -3, 854], [95, -3, 863],
     [95, -3, 871], [96, -3, 880], [96, -3, 887], [97, -3, 897], [97, -3, 902], [97, -3, 914], [97, -3, 918],
     [98, -3, 933], [98, -3, 957], [98, -3, 988], [98, -3, 1037], [99, -3, 1063], [99, -3, 1068],
     [99, -3, 1080], [99, -3, 1083], [100, -3, 1093], [100, -3, 1099], [101, -3, 1108], [101, -3, 1115],
     [101, -3, 1124], [101, -3, 1131], [102, -3, 1140], [102, -3, 1172], [102, -3, 1344]],
    [[-37, -21, 0], [0, 0, 0], [0, 0, 135], [2, 0, 141], [4, 0, 149], [5, 0, 156], [7, 0, 166], [10, 0, 172],
     [13, 0, 180], [16, 0, 188], [19, 0, 196], [21, 0, 204], [24, 0, 211], [26, 0, 221], [28, 0, 227],
     [29, 0, 236], [31, 0, 243], [33, 0, 252], [35, 0, 259], [36, 0, 271], [37, 0, 275], [38, 0, 288],
     [39, 0, 290], [39, 0, 300], [40, 0, 306], [41, 0, 316], [41, 0, 322], [41, 0, 331], [42, 0, 338],
     [42, 0, 346], [43, 0, 355], [43, 0, 362], [43, 0, 370], [43, 0, 378], [44, 0, 386], [44, 0, 405],
     [44, 0, 473], [44, 0, 520], [45, 0, 538], [45, 0, 544], [45, 0, 555], [45, 0, 559], [46, 0, 572],
     [47, 0, 575], [48, 0, 589], [49, 0, 591], [50, 0, 600], [51, 0, 607], [52, 0, 614], [52, 0, 622],
     [53, 0, 632], [53, 0, 639], [54, 0, 647], [54, 0, 655], [54, 0, 662], [54, 0, 678], [55, 0, 710],
     [55, 0, 789], [55, 0, 1017]],
    [[-44, -51, 0], [0, 0, 0], [2, 1, 6], [5, 3, 11], [9, 4, 25], [12, 6, 35], [15, 6, 39], [19, 7, 50], [25, 8, 57],
     [29, 8, 64], [35, 8, 72], [39, 10, 79], [43, 10, 88], [48, 10, 95], [52, 10, 103], [56, 10, 110], [61, 10, 118],
     [64, 10, 126], [66, 10, 134], [69, 10, 142], [70, 10, 150], [71, 10, 167], [72, 10, 223], [73, 10, 248],
     [74, 10, 568], [75, 10, 576], [76, 10, 592], [77, 11, 609], [78, 11, 719], [79, 12, 727], [80, 12, 799],
     [80, 12, 1198]],
    [[-36, -30, 0], [0, 0, 0], [1, -1, 71], [3, -1, 80], [6, -1, 87], [8, -1, 96], [12, -1, 105], [14, -1, 112],
     [16, -1, 120], [19, -1, 128], [21, -1, 136], [24, -1, 144], [26, -1, 151], [28, -1, 160], [30, -1, 168],
     [31, -1, 176], [32, -1, 183], [34, -1, 192], [37, -1, 199], [38, -1, 208], [40, -1, 217], [42, -1, 223],
     [44, -1, 231], [46, -1, 239], [49, -1, 247], [51, -1, 257], [52, -1, 263], [54, -1, 271], [55, -1, 280],
     [58, -1, 287], [60, -1, 295], [62, 0, 303], [63, 0, 311], [65, 0, 319], [66, 0, 327], [68, 0, 335], [69, 0, 343],
     [70, 0, 351], [71, 0, 359], [73, 1, 367], [74, 1, 385], [75, 1, 392], [76, 1, 408], [77, 1, 416], [78, 1, 431],
     [79, 1, 447], [80, 1, 455], [81, 1, 479], [82, 1, 487], [83, 1, 496], [84, 1, 512], [86, 1, 528], [87, 1, 559],
     [88, 1, 568], [89, 1, 576], [90, 1, 591], [91, 1, 600], [92, 1, 608], [93, 1, 616], [94, 1, 624], [95, 2, 633],
     [96, 2, 648], [98, 3, 664], [99, 3, 687], [100, 3, 695], [101, 3, 704], [102, 3, 728], [103, 3, 735],
     [104, 3, 744], [106, 4, 767], [107, 4, 783], [108, 4, 791], [109, 4, 800], [110, 4, 807], [111, 4, 816],
     [112, 4, 833], [113, 4, 856], [111, 4, 1746], [111, 4, 2143]],
    [[-34, -40, 0], [0, 0, 0], [0, 1, 61], [1, 1, 72], [6, 3, 76], [7, 3, 91], [8, 3, 92], [12, 5, 100], [15, 5, 107],
     [19, 5, 116], [24, 6, 124], [30, 6, 131], [40, 7, 139], [44, 7, 148], [52, 7, 155], [59, 7, 163], [66, 7, 172],
     [73, 7, 179], [79, 9, 188], [83, 9, 195], [87, 9, 204], [91, 10, 212], [93, 10, 220], [96, 10, 227], [98, 10, 236],
     [100, 10, 243], [102, 10, 260], [103, 10, 267], [104, 10, 284], [105, 11, 299], [106, 11, 307], [107, 11, 316],
     [108, 11, 324], [109, 11, 331], [110, 11, 339], [111, 11, 348], [112, 11, 356], [113, 12, 363], [114, 13, 371],
     [115, 13, 395], [116, 13, 412], [117, 13, 468], [118, 13, 483], [119, 13, 499], [120, 13, 516], [121, 13, 524],
     [122, 13, 531], [123, 13, 547], [125, 14, 555], [126, 14, 580], [127, 14, 595], [128, 14, 604], [129, 15, 629],
     [128, 15, 1035], [127, 16, 1043], [126, 16, 1059], [125, 16, 1092], [124, 16, 1099], [123, 16, 1123],
     [123, 16, 1627]],
    [[-40, -36, 0], [0, 0, 0], [-1, 1, 6], [-1, 2, 37], [1, 2, 44], [2, 2, 53], [3, 2, 60], [4, 2, 68], [6, 3, 76],
     [8, 3, 92], [9, 3, 102], [10, 3, 111], [11, 3, 119], [12, 3, 126], [14, 3, 133], [15, 3, 141], [18, 3, 150],
     [19, 3, 157], [22, 3, 165], [24, 3, 173], [27, 3, 181], [29, 3, 190], [32, 3, 198], [34, 3, 205], [36, 3, 213],
     [38, 3, 221], [41, 3, 229], [43, 3, 237], [44, 3, 245], [46, 3, 253], [47, 3, 262], [49, 3, 269], [49, 4, 279],
     [50, 4, 294], [52, 4, 317], [53, 5, 325], [55, 6, 358], [56, 6, 374], [58, 6, 398], [59, 6, 414], [59, 7, 421],
     [61, 7, 445], [62, 7, 461], [63, 7, 477], [64, 7, 485], [65, 7, 493], [65, 7, 517], [66, 7, 549], [67, 7, 557],
     [68, 7, 581], [69, 7, 597], [69, 8, 645], [70, 8, 677], [71, 8, 709], [72, 8, 717], [73, 8, 749], [74, 9, 765],
     [75, 10, 789], [75, 10, 1165]],
    [[-48, -42, 0], [0, 0, 0], [0, 1, 22], [1, 1, 38], [3, 1, 46], [6, 1, 54], [8, 1, 63], [11, 1, 70], [15, 1, 79],
     [18, 1, 85], [21, 1, 96], [25, 1, 102], [27, 1, 110], [31, 1, 117], [35, 1, 126], [39, 1, 133], [42, 1, 141],
     [46, 1, 151], [49, 1, 157], [52, 1, 165], [54, 1, 173], [56, 1, 181], [58, 1, 189], [60, 1, 197], [61, 3, 205],
     [62, 3, 221], [63, 3, 229], [64, 3, 246], [65, 3, 253], [65, 3, 261], [66, 3, 269], [68, 3, 277], [69, 3, 285],
     [72, 3, 293], [73, 3, 302], [74, 3, 310], [75, 3, 318], [76, 3, 358], [77, 3, 405], [79, 3, 429], [80, 3, 493],
     [81, 3, 501], [82, 4, 525], [83, 4, 549], [84, 5, 566], [85, 5, 581], [86, 5, 590], [87, 5, 598], [88, 6, 605],
     [89, 6, 621], [90, 6, 725], [90, 7, 733], [91, 7, 749], [92, 7, 757], [93, 8, 765], [92, 8, 1229], [91, 8, 1236],
     [90, 9, 1252], [90, 9, 1612]],
    [[-28, -33, 0], [0, 0, 0], [1, 0, 5], [2, 0, 22], [4, 0, 39], [5, 0, 46], [7, 0, 58], [8, 0, 70], [10, 0, 77],
     [12, 0, 85], [14, 0, 92], [15, 0, 101], [17, 0, 108], [20, 0, 116], [22, 0, 125], [25, 0, 132], [28, 0, 141],
     [30, 0, 149], [33, 0, 156], [35, -1, 165], [37, -1, 173], [39, -1, 181], [41, -2, 188], [43, -2, 196],
     [44, -2, 204], [45, -2, 212], [46, -2, 220], [47, -2, 236], [48, -2, 244], [49, -2, 253], [50, -2, 261],
     [51, -2, 269], [52, -2, 276], [53, -2, 286], [55, -2, 293], [56, -2, 301], [58, -2, 309], [60, -2, 316],
     [62, -2, 324], [63, -2, 333], [65, -2, 341], [67, -2, 348], [68, -2, 356], [69, -2, 365], [71, -2, 373],
     [72, -2, 380], [74, -2, 388], [75, -2, 396], [77, -2, 412], [78, -2, 428], [79, -2, 445], [80, -2, 460],
     [81, -2, 469], [82, -2, 484], [83, -2, 501], [84, -2, 540], [85, -2, 583], [86, -2, 605], [87, -2, 677],
     [88, -1, 709], [89, -1, 717], [90, -1, 750], [91, -1, 758], [92, -1, 767], [93, 0, 790], [94, 0, 821],
     [95, 0, 828], [97, 1, 852], [98, 1, 941], [98, 1, 1324]],
    [[-41, -16, 0], [0, 0, 0], [0, -1, 14], [1, -2, 22], [3, -3, 38], [4, -4, 46], [5, -4, 55], [6, -5, 62],
     [8, -5, 70], [13, -6, 78], [16, -6, 86], [21, -8, 94], [28, -10, 102], [33, -12, 110], [41, -13, 119],
     [47, -14, 127], [53, -14, 134], [60, -16, 143], [65, -16, 150], [69, -16, 158], [72, -16, 166], [75, -16, 174],
     [76, -16, 182], [77, -16, 191], [78, -16, 206], [79, -16, 230], [80, -15, 262], [81, -15, 286], [82, -15, 294],
     [83, -14, 310], [85, -14, 358], [85, -13, 577], [86, -13, 601], [87, -13, 625], [88, -13, 649], [89, -13, 689],
     [90, -13, 705], [91, -13, 756], [92, -13, 784], [93, -13, 809], [94, -13, 898], [94, -13, 1630]],
    [[-27, -20, 0], [0, 0, 0], [1, 0, 7], [2, 0, 15], [3, 0, 23], [4, 0, 39], [6, 0, 47], [7, 0, 55], [11, 0, 63],
     [13, 0, 71], [16, 0, 79], [18, 0, 87], [20, 0, 95], [24, 0, 103], [29, 0, 111], [33, 0, 119], [37, 0, 128],
     [41, 0, 135], [46, 0, 143], [49, 0, 151], [54, 0, 159], [57, 0, 167], [60, 0, 175], [63, 0, 183], [65, 0, 191],
     [68, 0, 199], [71, 0, 207], [72, 0, 215], [74, 0, 223], [75, 0, 231], [77, 0, 239], [78, 0, 247], [79, 0, 255],
     [81, 0, 264], [82, 0, 271], [84, 0, 288], [85, 0, 295], [87, 1, 320], [88, 2, 552], [89, 2, 577], [90, 2, 585],
     [91, 2, 600], [91, 2, 991]],
    [[-46, -17, 0], [0, 0, 0], [2, 0, 31], [4, 0, 39], [8, 0, 48], [12, 0, 56], [19, 0, 63], [23, 0, 71], [31, 0, 80],
     [41, 2, 88], [47, 2, 95], [56, 3, 104], [64, 4, 112], [71, 5, 120], [79, 5, 127], [88, 5, 136], [96, 5, 144],
     [104, 5, 151], [110, 5, 160], [114, 5, 167], [118, 5, 175], [120, 5, 183], [121, 5, 191], [122, 6, 199],
     [123, 6, 247], [124, 6, 263], [125, 6, 279], [127, 7, 296], [128, 7, 312], [130, 7, 329], [131, 7, 335],
     [133, 7, 344], [134, 7, 351], [136, 7, 360], [137, 7, 367], [138, 7, 392], [139, 7, 409], [140, 7, 431],
     [141, 7, 439], [142, 7, 447], [143, 7, 463], [144, 7, 472], [145, 8, 479], [146, 8, 512], [147, 9, 520],
     [148, 9, 551], [149, 9, 680], [151, 9, 711], [152, 10, 736], [154, 10, 776], [155, 10, 887], [155, 10, 1143]],
    [[-44, -35, 0], [0, 0, 0], [1, 0, 55], [5, 0, 64], [7, 0, 71], [10, 0, 76], [16, 0, 85], [21, 0, 93], [26, 0, 101],
     [32, 0, 107], [36, 0, 115], [40, 0, 123], [44, 0, 132], [46, 0, 140], [50, 0, 148], [53, 0, 155], [56, 0, 164],
     [59, 0, 172], [61, 0, 180], [64, 0, 188], [67, 0, 196], [70, 0, 205], [74, 0, 212], [79, 0, 220], [82, 0, 227],
     [85, 0, 236], [88, 0, 244], [91, 0, 252], [94, 0, 259], [97, 0, 267], [98, 0, 275], [101, 0, 283], [102, 0, 291],
     [104, 0, 299], [106, 0, 307], [108, 0, 316], [109, 0, 331], [110, 0, 340], [111, 0, 348], [112, 0, 371],
     [113, 0, 380], [114, 0, 387], [115, 0, 396], [116, 0, 404], [117, 0, 411], [119, 0, 419], [121, 0, 427],
     [123, 0, 435], [124, 0, 443], [125, 0, 459], [128, 2, 468], [129, 2, 491], [130, 2, 508], [131, 2, 532],
     [132, 2, 571], [133, 2, 580], [134, 2, 603], [135, 3, 612], [134, 3, 988], [133, 3, 1027], [131, 3, 1059],
     [130, 3, 1236], [130, 3, 1435]],
    [[-39, -35, 0], [0, 0, 0], [1, 0, 41], [4, 0, 48], [6, 0, 57], [9, 0, 66], [13, 0, 72], [17, 0, 79], [20, 0, 87],
     [25, 2, 95], [28, 2, 103], [32, 2, 111], [36, 2, 119], [40, 2, 129], [45, 2, 136], [49, 2, 144], [55, 2, 151],
     [62, 2, 159], [67, 2, 167], [72, 2, 176], [77, 2, 183], [84, 2, 191], [90, 2, 199], [95, 2, 207], [100, 2, 215],
     [104, 2, 223], [107, 2, 231], [110, 2, 239], [112, 2, 248], [113, 3, 254], [114, 3, 262], [115, 3, 270],
     [116, 4, 278], [117, 4, 294], [118, 4, 310], [119, 4, 318], [120, 4, 326], [122, 4, 343], [123, 4, 350],
     [124, 4, 358], [125, 4, 366], [126, 4, 374], [127, 4, 382], [129, 4, 390], [130, 4, 398], [132, 4, 406],
     [133, 4, 414], [135, 4, 422], [136, 4, 430], [138, 4, 439], [140, 4, 447], [142, 5, 456], [143, 5, 463],
     [144, 5, 471], [145, 5, 479], [146, 5, 488], [147, 5, 503], [148, 5, 512], [149, 6, 527], [150, 6, 535],
     [151, 6, 543], [152, 6, 559], [153, 6, 567], [155, 6, 575], [156, 6, 591], [157, 6, 599], [158, 6, 607],
     [159, 7, 631], [160, 7, 663], [161, 7, 696], [162, 7, 863], [163, 7, 887], [163, 7, 1262]],
    [[-21, -39, 0], [0, 0, 0], [0, 1, 39], [2, 1, 43], [3, 1, 66], [4, 1, 75], [5, 1, 83], [7, 1, 91], [9, 0, 107],
     [10, 0, 114], [12, 0, 123], [15, 0, 131], [17, 0, 139], [18, 0, 146], [21, 0, 155], [22, 0, 162], [24, 0, 171],
     [27, 0, 178], [30, 0, 187], [31, 0, 194], [33, 0, 203], [35, 0, 211], [38, 1, 219], [40, 1, 226], [43, 1, 234],
     [48, 2, 242], [51, 2, 251], [55, 4, 261], [56, 4, 267], [60, 5, 275], [62, 5, 283], [65, 5, 291], [67, 6, 298],
     [68, 6, 307], [69, 6, 314], [70, 6, 323], [71, 6, 331], [72, 6, 339], [73, 6, 355], [74, 6, 371], [75, 6, 387],
     [76, 7, 403], [77, 7, 419], [78, 7, 427], [79, 7, 435], [80, 7, 444], [81, 7, 451], [82, 7, 459], [83, 7, 467],
     [84, 7, 483], [85, 7, 491], [86, 7, 514], [86, 7, 1074]],
    [[-29, -46, 0], [0, 0, 0], [1, 0, 5], [2, 0, 14], [4, 1, 30], [5, 1, 37], [7, 1, 47], [9, 1, 53], [12, 1, 62],
     [17, 2, 68], [19, 2, 76], [23, 2, 85], [28, 2, 93], [33, 2, 101], [38, 2, 106], [46, 2, 114], [52, 2, 122],
     [59, 2, 130], [64, 2, 138], [69, 3, 146], [74, 4, 155], [79, 6, 162], [82, 6, 171], [85, 6, 178], [86, 6, 188],
     [88, 6, 195], [89, 6, 203], [90, 7, 212], [91, 7, 218], [92, 7, 228], [93, 7, 235], [94, 7, 251], [95, 8, 259],
     [96, 8, 283], [98, 8, 290], [100, 8, 307], [101, 8, 315], [102, 8, 323], [103, 8, 330], [104, 8, 339],
     [105, 8, 347], [107, 8, 355], [108, 8, 362], [110, 8, 378], [111, 8, 387], [113, 8, 395], [114, 8, 411],
     [116, 8, 428], [117, 8, 444], [119, 8, 483], [120, 8, 508], [122, 8, 522], [123, 8, 547], [124, 8, 586],
     [125, 8, 595], [126, 8, 611], [127, 8, 626], [128, 8, 642], [129, 9, 658], [130, 9, 697], [130, 9, 1082]],
    [[-29, -32, 0], [0, 0, 0], [2, 0, 88], [6, 0, 95], [13, 1, 103], [21, 2, 111], [32, 4, 120], [41, 4, 128],
     [52, 5, 136], [64, 5, 144], [75, 5, 151], [84, 5, 160], [94, 5, 167], [107, 7, 176], [116, 7, 183], [125, 7, 192],
     [132, 7, 200], [136, 7, 208], [142, 8, 215], [145, 8, 223], [148, 8, 231], [150, 9, 248], [151, 9, 288],
     [150, 10, 576], [148, 10, 584], [147, 10, 591], [146, 10, 599], [145, 10, 608], [144, 10, 623], [143, 10, 647],
     [142, 10, 664], [141, 10, 672], [140, 10, 680], [139, 10, 689], [138, 10, 705], [137, 10, 713], [136, 10, 723],
     [135, 10, 753], [134, 10, 769], [133, 11, 777], [132, 11, 809], [131, 11, 817], [130, 11, 833], [129, 11, 865],
     [128, 11, 882], [127, 11, 890], [126, 11, 905], [125, 11, 921], [124, 11, 985], [123, 11, 1001], [122, 12, 1017],
     [123, 12, 1528], [124, 12, 2040], [125, 12, 2064], [125, 12, 2343]],
    [[-41, -18, 0], [0, 0, 0], [3, 0, 20], [5, 0, 28], [8, 0, 36], [11, 0, 44], [15, 0, 52], [18, 0, 60], [22, 0, 68],
     [24, 0, 76], [27, 1, 84], [30, 1, 92], [33, 1, 100], [35, 1, 108], [38, 1, 115], [40, 1, 124], [41, 1, 133],
     [42, 1, 141], [43, 1, 148], [44, 1, 157], [45, 1, 173], [46, 1, 180], [47, 1, 196], [48, 1, 213], [49, 1, 221],
     [50, 1, 244], [51, 2, 269], [52, 2, 287], [53, 2, 309], [55, 2, 326], [56, 2, 341], [58, 2, 500], [59, 3, 508],
     [60, 3, 523], [61, 3, 531], [62, 4, 539], [62, 4, 883]],
    [[-24, -33, 0], [0, 0, 0], [0, 1, 39], [2, 1, 55], [3, 1, 63], [7, 3, 71], [10, 3, 79], [12, 3, 87], [18, 4, 95],
     [24, 5, 103], [29, 5, 111], [37, 6, 119], [44, 6, 127], [53, 6, 135], [64, 6, 142], [72, 6, 151], [83, 6, 159],
     [91, 6, 167], [99, 6, 175], [106, 6, 183], [112, 6, 191], [116, 6, 199], [118, 6, 207], [120, 6, 215],
     [121, 6, 224], [122, 6, 239], [123, 6, 263], [125, 7, 303], [127, 7, 335], [128, 7, 351], [129, 8, 359],
     [131, 8, 367], [134, 8, 375], [135, 8, 383], [136, 8, 391], [137, 8, 399], [137, 8, 943]],
    [[-30, -39, 0], [0, 0, 0], [0, 1, 93], [5, 1, 101], [9, 1, 108], [16, 1, 116], [21, 1, 124], [26, 1, 132],
     [35, 1, 140], [40, 1, 147], [46, 2, 156], [50, 2, 165], [52, 3, 173], [55, 4, 181], [56, 4, 188], [57, 4, 197],
     [59, 4, 204], [60, 4, 213], [61, 5, 220], [63, 5, 229], [64, 6, 236], [65, 7, 244], [66, 7, 252], [70, 8, 261],
     [73, 9, 269], [76, 10, 277], [77, 10, 285], [80, 11, 293], [82, 12, 301], [84, 12, 309], [85, 13, 318],
     [87, 14, 325], [88, 14, 341], [90, 14, 349], [90, 15, 356], [91, 15, 364], [93, 15, 372], [94, 15, 388],
     [96, 16, 396], [97, 16, 404], [98, 17, 412], [100, 17, 420], [101, 17, 428], [103, 18, 444], [105, 18, 452],
     [107, 18, 460], [108, 18, 468], [109, 18, 477], [110, 18, 484], [111, 18, 492], [112, 18, 524], [113, 18, 540],
     [114, 18, 548], [115, 18, 564], [117, 18, 572], [119, 18, 580], [120, 18, 596], [123, 18, 604], [124, 18, 620],
     [125, 18, 628], [126, 18, 636], [127, 18, 644], [128, 18, 652], [129, 18, 660], [130, 18, 668], [132, 18, 675],
     [133, 18, 796], [134, 19, 828], [135, 19, 852], [136, 19, 903], [138, 19, 929], [139, 20, 934], [140, 20, 943],
     [141, 21, 959], [142, 21, 1180], [142, 21, 1244]],
    [[-50, -27, 0], [0, 0, 0], [0, 1, 7], [0, 2, 21], [1, 3, 37], [2, 3, 52], [3, 4, 61], [4, 4, 69], [6, 4, 77],
     [9, 4, 84], [13, 4, 92], [16, 4, 100], [20, 4, 109], [25, 4, 115], [29, 4, 123], [32, 4, 131], [34, 4, 139],
     [36, 4, 147], [39, 4, 154], [41, 4, 163], [44, 4, 180], [46, 4, 195], [47, 4, 202], [50, 4, 211], [51, 4, 219],
     [53, 4, 227], [56, 4, 234], [57, 4, 242], [59, 4, 250], [61, 4, 259], [62, 4, 277], [63, 4, 284], [64, 5, 292],
     [65, 5, 320], [65, 5, 333], [67, 5, 644], [68, 5, 660], [70, 6, 701], [71, 7, 747], [71, 7, 1058]],
    [[-25, -31, 0], [0, 0, 0], [1, 0, 7], [1, 1, 63], [2, 1, 72], [3, 1, 89], [4, 2, 95], [7, 2, 103], [8, 3, 111],
     [9, 3, 119], [11, 3, 127], [13, 3, 135], [16, 3, 143], [19, 3, 151], [23, 5, 160], [26, 5, 167], [30, 5, 176],
     [33, 5, 183], [35, 6, 192], [38, 6, 198], [39, 7, 205], [41, 7, 214], [43, 7, 222], [45, 7, 229], [47, 7, 237],
     [51, 7, 246], [53, 7, 253], [57, 7, 262], [65, 7, 270], [70, 7, 277], [75, 7, 287], [79, 7, 295], [82, 7, 303],
     [84, 7, 311], [85, 7, 319], [86, 7, 335], [87, 7, 352], [88, 7, 392], [91, 7, 399], [93, 7, 407], [96, 7, 415],
     [99, 7, 425], [101, 7, 432], [103, 7, 440], [105, 7, 447], [107, 8, 456], [109, 9, 462], [111, 9, 469],
     [113, 10, 477], [114, 11, 502], [115, 11, 590], [116, 11, 598], [117, 11, 614], [118, 11, 645], [119, 11, 654],
     [120, 11, 670], [121, 11, 677], [122, 11, 694], [123, 11, 734], [124, 11, 766], [124, 12, 846], [125, 12, 869],
     [126, 12, 1093], [127, 12, 1184], [127, 12, 1438]],
    [[-45, -36, 0], [0, 0, 0], [0, 1, 49], [0, 3, 56], [4, 5, 63], [6, 6, 75], [11, 8, 79], [15, 8, 84], [17, 8, 91],
     [21, 9, 100], [25, 9, 108], [27, 9, 114], [30, 9, 125], [34, 9, 130], [39, 9, 138], [43, 9, 146], [48, 9, 154],
     [52, 9, 162], [58, 9, 170], [61, 9, 178], [65, 9, 186], [69, 9, 195], [72, 9, 203], [75, 9, 210], [76, 9, 219],
     [77, 9, 226], [79, 9, 235], [81, 9, 251], [82, 9, 267], [83, 9, 275], [84, 9, 283], [85, 9, 290], [86, 9, 307],
     [87, 9, 315], [88, 9, 323], [89, 9, 331], [91, 9, 338], [92, 9, 348], [93, 9, 355], [95, 9, 362], [97, 9, 370],
     [98, 9, 378], [99, 9, 386], [101, 9, 394], [102, 9, 403], [103, 9, 410], [104, 9, 532], [106, 9, 556],
     [107, 9, 564], [108, 9, 580], [110, 9, 590], [111, 9, 596], [112, 9, 620], [113, 9, 628], [114, 9, 875],
     [116, 9, 890], [116, 9, 1107]],
    [[-39, -39, 0], [0, 0, 0], [2, 0, 56], [5, 0, 65], [7, 0, 73], [10, 0, 81], [14, 2, 89], [18, 3, 97], [21, 3, 104],
     [23, 3, 112], [25, 3, 120], [26, 4, 127], [29, 6, 136], [30, 6, 144], [32, 6, 151], [33, 6, 159], [35, 6, 167],
     [37, 7, 175], [38, 7, 183], [40, 7, 191], [42, 8, 200], [43, 8, 208], [46, 8, 215], [49, 9, 226], [53, 9, 232],
     [57, 9, 240], [59, 9, 248], [62, 9, 256], [65, 9, 264], [65, 10, 272], [68, 10, 280], [70, 10, 289], [72, 10, 297],
     [73, 10, 304], [74, 10, 312], [75, 10, 329], [77, 10, 376], [78, 10, 409], [79, 10, 424], [80, 10, 432],
     [81, 10, 448], [82, 10, 464], [83, 10, 471], [84, 10, 480], [85, 10, 496], [86, 10, 503], [87, 10, 520],
     [88, 10, 535], [89, 10, 552], [90, 10, 584], [91, 10, 592], [92, 10, 607], [93, 10, 657], [94, 10, 674],
     [95, 10, 681], [96, 10, 705], [96, 10, 1071]],
    [[-36, -36, 0], [0, 0, 0], [0, 1, 32], [2, 1, 56], [4, 1, 64], [8, 1, 72], [12, 1, 81], [19, 1, 88], [23, 1, 96],
     [27, 1, 105], [29, 1, 112], [34, 0, 120], [38, 0, 128], [43, 0, 136], [49, 0, 144], [54, -1, 152], [58, -1, 160],
     [62, -1, 168], [66, -1, 176], [69, -1, 184], [72, -1, 192], [75, -1, 200], [77, -1, 208], [78, -1, 216],
     [80, -1, 224], [81, -1, 232], [84, -1, 248], [87, -1, 264], [89, 0, 272], [91, 0, 281], [94, 0, 288], [96, 0, 297],
     [97, 0, 304], [98, 0, 312], [100, 0, 320], [99, 0, 560], [98, 0, 568], [97, 0, 576], [95, 1, 592], [94, 1, 616],
     [92, 1, 624], [91, 1, 648], [90, 2, 672], [89, 2, 696], [88, 2, 730], [89, 2, 1332], [90, 2, 1340], [91, 2, 1352],
     [92, 2, 1371], [93, 2, 1414], [94, 2, 1458], [94, 2, 1799]],
    [[-35, -17, 0], [0, 0, 0], [2, 0, 29], [3, 0, 35], [4, 0, 51], [5, 0, 68], [6, 0, 84], [7, 0, 100], [8, 0, 108],
     [9, 0, 116], [11, 0, 124], [14, -1, 132], [16, -1, 140], [17, -1, 149], [19, -1, 156], [22, -1, 164],
     [24, -1, 172], [26, -1, 180], [28, -1, 187], [30, -1, 196], [32, -1, 202], [34, -1, 210], [36, -1, 219],
     [37, -1, 226], [40, -1, 233], [42, -1, 242], [43, -1, 250], [44, -1, 258], [45, -1, 266], [46, -1, 282],
     [47, -1, 290], [48, -1, 306], [49, -1, 314], [50, -1, 322], [51, -1, 330], [53, -1, 347], [54, -1, 371],
     [55, -1, 378], [56, -1, 395], [57, -1, 410], [58, -1, 418], [59, 0, 426], [60, 0, 442], [61, 0, 450], [63, 0, 459],
     [63, 1, 467], [64, 1, 475], [65, 2, 491], [66, 3, 530], [67, 3, 570], [69, 3, 594], [70, 3, 634], [71, 4, 666],
     [71, 4, 1019]],
    [[-55, -29, 0], [0, 0, 0], [-1, 0, 45], [0, 1, 59], [2, 1, 67], [3, 1, 75], [6, 2, 83], [10, 2, 91], [13, 2, 98],
     [19, 3, 106], [24, 4, 114], [32, 4, 122], [40, 4, 130], [48, 4, 138], [56, 4, 147], [64, 4, 154], [73, 4, 163],
     [82, 4, 170], [91, 4, 178], [97, 4, 186], [102, 4, 194], [105, 4, 202], [108, 4, 210], [109, 4, 217],
     [112, 4, 226], [113, 4, 250], [115, 4, 266], [116, 4, 282], [118, 5, 290], [119, 5, 306], [121, 5, 314],
     [122, 6, 322], [123, 6, 339], [124, 7, 346], [125, 7, 378], [126, 7, 458], [127, 7, 626], [128, 7, 650],
     [129, 8, 660], [130, 8, 690], [130, 8, 1114]],
    [[-36, -31, 0], [0, 0, 0], [2, 0, 68], [3, 1, 77], [4, 1, 83], [7, 3, 91], [9, 4, 100], [10, 5, 107], [13, 6, 113],
     [14, 6, 122], [16, 6, 129], [17, 6, 138], [19, 6, 145], [21, 6, 153], [24, 6, 161], [27, 6, 168], [29, 6, 177],
     [33, 6, 185], [37, 6, 193], [41, 6, 201], [48, 6, 209], [54, 6, 216], [60, 6, 226], [66, 6, 233], [71, 6, 241],
     [76, 6, 249], [81, 6, 259], [85, 7, 265], [88, 7, 275], [89, 7, 281], [91, 7, 289], [93, 7, 297], [95, 8, 306],
     [96, 8, 313], [98, 8, 322], [100, 8, 329], [103, 8, 338], [105, 8, 345], [107, 8, 353], [109, 8, 362],
     [112, 8, 369], [114, 9, 377], [116, 9, 385], [118, 10, 394], [121, 10, 401], [124, 10, 441], [133, 12, 443],
     [135, 12, 449], [138, 13, 458], [139, 13, 465], [141, 13, 475], [142, 13, 482], [143, 13, 489], [144, 13, 506],
     [145, 13, 521], [146, 13, 554], [147, 13, 561], [148, 13, 586], [149, 13, 593], [150, 13, 601], [151, 13, 609],
     [152, 14, 617], [153, 14, 625], [155, 15, 642], [156, 15, 665], [157, 15, 689], [157, 16, 709], [158, 16, 754],
     [159, 16, 761], [160, 16, 777], [161, 16, 793], [162, 16, 800], [163, 17, 816], [164, 17, 832], [165, 17, 840],
     [167, 18, 864], [168, 18, 1040], [168, 18, 1280]],
    [[-41, -28, 0], [0, 0, 0], [1, 0, 64], [3, 0, 75], [5, 0, 79], [7, 0, 86], [10, 1, 92], [17, 1, 102], [21, 2, 109],
     [29, 3, 116], [36, 4, 123], [42, 5, 131], [50, 6, 139], [57, 6, 148], [64, 6, 155], [67, 6, 164], [71, 6, 172],
     [73, 6, 180], [75, 6, 188], [78, 7, 195], [79, 7, 203], [80, 7, 220], [81, 7, 227], [82, 7, 235], [83, 7, 252],
     [85, 8, 260], [87, 9, 275], [88, 9, 283], [90, 10, 299], [91, 10, 308], [93, 10, 323], [94, 10, 331],
     [95, 10, 339], [97, 10, 347], [98, 10, 363], [100, 10, 371], [101, 10, 387], [102, 12, 395], [104, 12, 403],
     [105, 12, 411], [106, 12, 419], [107, 12, 427], [108, 12, 435], [110, 12, 444], [112, 12, 459], [114, 12, 467],
     [115, 12, 483], [117, 13, 491], [119, 13, 499], [120, 13, 507], [122, 13, 515], [123, 13, 523], [124, 13, 531],
     [124, 14, 539], [125, 14, 547], [126, 14, 555], [127, 15, 571], [128, 15, 595], [129, 15, 627], [130, 15, 651],
     [131, 15, 659], [132, 16, 667], [134, 17, 699], [135, 17, 1029], [136, 17, 1238], [137, 17, 1342], [138, 17, 1357],
     [138, 17, 1595]],
    [[-30, -27, 0], [0, 0, 0], [1, 0, 28], [3, 0, 33], [6, 0, 40], [10, 0, 49], [16, 0, 56], [23, 0, 64], [29, 0, 72],
     [39, 0, 80], [48, 0, 89], [57, 0, 95], [65, 0, 103], [75, 0, 111], [86, 0, 120], [96, 0, 127], [107, 0, 136],
     [114, 0, 143], [120, 0, 151], [123, 0, 159], [125, 0, 167], [128, 0, 175], [130, 0, 193], [131, 0, 200],
     [132, 0, 217], [134, 0, 225], [136, 0, 248], [137, 0, 257], [139, 0, 272], [140, 0, 287], [142, 0, 311],
     [143, 0, 320], [145, 0, 327], [147, 0, 335], [149, 0, 343], [150, 0, 351], [152, 0, 359], [154, 0, 367],
     [156, 0, 375], [158, 0, 391], [159, 0, 407], [160, 0, 415], [161, 0, 423], [162, 0, 430], [163, 0, 599],
     [164, 0, 607], [165, 0, 623], [166, 0, 639], [167, 0, 646], [168, 0, 665], [169, 0, 729], [169, 0, 1078]],
    [[-36, -34, 0], [0, 0, 0], [2, 0, 8], [3, 0, 37], [5, 0, 43], [6, 0, 51], [9, 0, 59], [12, 0, 66], [16, 0, 74],
     [21, 0, 81], [28, 0, 89], [36, 0, 97], [46, 0, 106], [54, 0, 113], [64, 0, 122], [74, 0, 129], [83, 0, 139],
     [94, 0, 145], [104, 0, 154], [111, 0, 162], [119, 0, 169], [123, 0, 177], [129, 0, 185], [132, 0, 194],
     [134, 0, 201], [135, 0, 258], [137, 0, 282], [138, 0, 306], [140, 0, 338], [141, 0, 396], [138, 0, 645],
     [137, 0, 660], [135, 0, 700], [134, 0, 796], [133, 0, 836], [132, 0, 891], [132, 0, 1282]],
    [[-42, -22, 0], [0, 0, 0], [0, 1, 51], [1, 1, 67], [3, 2, 70], [4, 2, 77], [5, 2, 85], [7, 4, 93], [10, 4, 101],
     [14, 4, 110], [20, 4, 117], [25, 4, 125], [31, 4, 132], [40, 4, 141], [47, 4, 149], [56, 4, 157], [65, 4, 163],
     [71, 4, 171], [78, 4, 179], [83, 4, 187], [90, 5, 195], [94, 5, 203], [98, 5, 211], [102, 5, 219], [104, 5, 227],
     [106, 5, 235], [108, 5, 243], [109, 5, 251], [111, 5, 259], [113, 5, 267], [115, 5, 275], [117, 5, 291],
     [119, 6, 299], [121, 6, 307], [123, 6, 315], [125, 6, 323], [128, 6, 331], [130, 6, 339], [132, 6, 347],
     [135, 6, 355], [136, 6, 363], [137, 6, 371], [138, 6, 387], [139, 6, 422], [140, 6, 662], [141, 6, 670],
     [142, 6, 701], [143, 6, 836], [144, 6, 852], [145, 6, 868], [146, 6, 988], [146, 6, 1323]],
    [[-36, -39, 0], [0, 0, 0], [0, 1, 5], [1, 2, 9], [2, 2, 32], [3, 3, 49], [4, 3, 55], [6, 4, 64], [7, 5, 72],
     [9, 5, 81], [12, 5, 88], [16, 6, 96], [22, 8, 104], [29, 10, 112], [37, 10, 120], [48, 10, 128], [55, 11, 136],
     [64, 11, 146], [71, 11, 151], [77, 11, 160], [82, 11, 168], [85, 11, 177], [88, 11, 184], [89, 11, 193],
     [91, 11, 225], [92, 11, 233], [93, 11, 248], [95, 12, 256], [97, 12, 270], [98, 13, 278], [99, 13, 285],
     [101, 14, 294], [102, 14, 302], [104, 14, 311], [105, 14, 318], [107, 14, 327], [108, 14, 334], [111, 14, 344],
     [112, 14, 351], [114, 14, 359], [115, 14, 367], [116, 14, 375], [118, 14, 382], [119, 14, 398], [121, 15, 408],
     [121, 16, 414], [122, 16, 422], [123, 16, 430], [124, 16, 438], [125, 16, 455], [126, 16, 470], [127, 16, 486],
     [128, 16, 510], [130, 16, 518], [131, 16, 534], [133, 17, 543], [134, 17, 582], [135, 17, 615], [136, 17, 678],
     [137, 19, 703], [138, 19, 711], [139, 19, 763], [140, 20, 838], [141, 20, 878], [142, 20, 902], [143, 20, 990],
     [144, 20, 1014], [145, 20, 1110], [145, 20, 1318]],
    [[-31, -33, 0], [0, 0, 0], [0, 1, 61], [1, 2, 77], [3, 2, 84], [4, 2, 94], [8, 3, 99], [13, 3, 105], [22, 4, 114],
     [28, 4, 121], [36, 4, 129], [46, 4, 136], [54, 4, 144], [62, 4, 152], [67, 4, 160], [74, 4, 168], [80, 5, 176],
     [84, 5, 184], [89, 5, 192], [94, 5, 200], [98, 5, 209], [102, 5, 216], [105, 5, 224], [108, 5, 233], [112, 5, 240],
     [116, 5, 249], [118, 5, 256], [120, 5, 264], [122, 6, 273], [124, 6, 280], [125, 6, 297], [127, 7, 304],
     [129, 7, 329], [130, 7, 336], [131, 7, 344], [132, 7, 361], [133, 8, 369], [135, 9, 384], [136, 9, 417],
     [137, 9, 433], [138, 9, 448], [139, 9, 456], [139, 9, 872]],
    [[-33, -27, 0], [0, 0, 0], [2, 0, 69], [4, 1, 77], [6, 1, 84], [8, 1, 96], [11, 2, 99], [14, 2, 107], [19, 4, 115],
     [25, 4, 124], [32, 4, 130], [36, 4, 139], [40, 4, 146], [44, 4, 155], [47, 4, 163], [50, 4, 171], [54, 4, 178],
     [58, 4, 186], [62, 4, 193], [65, 4, 201], [67, 4, 209], [70, 4, 217], [71, 4, 225], [74, 4, 233], [75, 4, 249],
     [76, 4, 265], [77, 4, 273], [78, 4, 281], [80, 4, 298], [81, 4, 307], [83, 4, 313], [84, 4, 323], [86, 4, 330],
     [87, 4, 337], [88, 4, 345], [90, 4, 353], [90, 5, 361], [91, 5, 386], [92, 5, 834], [93, 5, 841], [93, 5, 1217]],
    [[-39, -39, 0], [0, 0, 0], [2, 0, 6], [5, 0, 23], [7, 0, 31], [8, 0, 38], [11, 0, 47], [14, 0, 54], [16, -1, 62],
     [17, -1, 70], [19, -1, 78], [20, -1, 85], [23, -1, 93], [26, -1, 101], [31, -1, 109], [35, -1, 117], [41, -1, 125],
     [50, -1, 133], [58, -1, 141], [65, -1, 149], [74, -1, 157], [81, -1, 165], [87, -1, 173], [93, -1, 182],
     [96, -1, 190], [98, -1, 197], [99, -1, 205], [100, -1, 213], [103, -1, 221], [104, -1, 230], [106, -1, 246],
     [107, -1, 253], [109, -1, 262], [110, -1, 278], [111, -1, 285], [112, -1, 294], [113, -1, 317], [115, -1, 493],
     [116, -1, 549], [117, -2, 894], [118, -2, 925], [119, -2, 942], [120, -2, 966], [120, -2, 1270]],
    [[-22, -33, 0], [0, 0, 0], [2, 0, 63], [3, 0, 71], [6, 0, 76], [7, 0, 92], [9, 2, 101], [10, 2, 117], [12, 2, 124],
     [14, 2, 143], [16, 2, 151], [18, 2, 165], [19, 2, 172], [20, 2, 189], [21, 2, 196], [22, 2, 205], [24, 2, 221],
     [25, 2, 228], [28, 2, 238], [29, 2, 245], [31, 2, 252], [32, 2, 261], [34, 2, 269], [36, 2, 276], [38, 2, 285],
     [39, 2, 301], [40, 2, 318], [41, 2, 333], [42, 2, 349], [44, 2, 357], [45, 2, 373], [46, 2, 381], [47, 2, 389],
     [48, 2, 396], [49, 2, 404], [50, 2, 413], [51, 2, 428], [52, 2, 437], [53, 2, 445], [54, 2, 452], [55, 2, 461],
     [56, 2, 468], [57, 2, 476], [59, 2, 485], [60, 2, 492], [62, 2, 508], [63, 2, 516], [64, 2, 533], [65, 2, 540],
     [65, 2, 548], [66, 2, 556], [67, 2, 565], [68, 2, 582], [69, 3, 613], [70, 3, 629], [71, 3, 636], [72, 3, 652],
     [74, 3, 660], [76, 3, 676], [78, 5, 684], [80, 5, 724], [81, 5, 756], [82, 5, 781], [83, 5, 788], [84, 5, 804],
     [85, 5, 844], [86, 5, 868], [87, 5, 936], [88, 5, 968], [89, 5, 984], [90, 6, 1062], [91, 6, 1092], [92, 7, 1116],
     [93, 7, 1180], [93, 7, 1492]],
    [[-48, -44, 0], [0, 0, 0], [0, 2, 36], [1, 3, 43], [4, 3, 59], [6, 4, 68], [8, 6, 75], [11, 6, 84], [14, 6, 91],
     [17, 6, 100], [20, 6, 108], [24, 6, 115], [27, 6, 125], [31, 6, 132], [35, 6, 141], [39, 6, 148], [43, 6, 155],
     [47, 6, 163], [50, 6, 173], [54, 6, 180], [57, 6, 188], [61, 6, 195], [64, 6, 204], [68, 6, 211], [70, 6, 220],
     [74, 6, 227], [78, 6, 236], [81, 6, 243], [83, 6, 252], [85, 6, 259], [87, 6, 275], [88, 6, 323], [89, 6, 341],
     [90, 6, 347], [91, 6, 355], [92, 6, 371], [93, 6, 379], [95, 6, 395], [97, 6, 403], [98, 6, 411], [99, 6, 419],
     [102, 6, 426], [103, 6, 434], [104, 6, 442], [107, 7, 449], [108, 7, 458], [109, 7, 466], [109, 8, 473],
     [110, 8, 505], [111, 8, 521], [112, 8, 539], [113, 8, 545], [114, 8, 555], [115, 8, 578], [116, 8, 625],
     [117, 8, 638], [118, 8, 653], [118, 8, 1161]],
    [[-42, -38, 0], [0, 0, 0], [1, 1, 66], [4, 2, 71], [7, 2, 79], [11, 4, 88], [18, 5, 91], [25, 6, 99], [32, 6, 107],
     [40, 6, 115], [50, 10, 123], [57, 11, 130], [65, 11, 137], [71, 12, 146], [75, 13, 154], [79, 13, 162],
     [82, 14, 170], [84, 14, 178], [86, 14, 186], [88, 15, 194], [89, 15, 203], [91, 15, 210], [92, 15, 218],
     [93, 16, 228], [94, 16, 234], [96, 16, 244], [97, 16, 258], [97, 17, 266], [98, 17, 282], [99, 17, 291],
     [101, 17, 308], [102, 17, 314], [104, 17, 323], [105, 18, 338], [104, 18, 728], [103, 18, 738], [102, 18, 744],
     [102, 18, 1153]],
    [[-43, -44, 0], [0, 0, 0], [0, 1, 34], [1, 1, 38], [5, 3, 46], [8, 4, 54], [12, 4, 63], [18, 5, 69], [22, 5, 76],
     [29, 5, 84], [37, 6, 94], [42, 6, 100], [52, 6, 109], [61, 6, 117], [67, 6, 124], [77, 6, 132], [87, 6, 141],
     [93, 6, 149], [101, 6, 157], [108, 6, 165], [115, 6, 173], [119, 6, 180], [123, 6, 189], [124, 6, 197],
     [125, 6, 757], [125, 7, 762], [124, 7, 1083], [124, 8, 1090], [122, 8, 1175], [122, 8, 1516]],
    [[-44, -27, 0], [0, 0, 0], [5, 0, 47], [10, -1, 55], [16, -1, 63], [22, -1, 70], [27, -1, 79], [31, -1, 87],
     [37, -1, 95], [41, -1, 103], [44, -1, 111], [45, -1, 118], [47, -1, 127], [48, -1, 143], [49, -1, 199],
     [49, -1, 798]],
    [[-32, -33, 0], [0, 0, 0], [2, 0, 60], [5, 0, 64], [6, 0, 75], [9, 0, 80], [10, 0, 88], [14, 1, 93], [16, 1, 100],
     [18, 2, 110], [22, 3, 118], [26, 4, 123], [31, 5, 131], [36, 6, 139], [42, 6, 147], [48, 7, 155], [54, 8, 163],
     [58, 9, 172], [64, 10, 179], [67, 10, 188], [72, 10, 195], [75, 11, 204], [78, 11, 212], [81, 11, 220],
     [83, 11, 228], [86, 11, 236], [89, 11, 243], [94, 11, 251], [99, 11, 260], [107, 11, 268], [116, 11, 276],
     [123, 11, 283], [132, 11, 292], [139, 11, 299], [146, 11, 308], [150, 11, 315], [152, 11, 323], [155, 12, 331],
     [156, 13, 339], [155, 13, 628], [153, 13, 635], [152, 13, 644], [149, 13, 652], [148, 13, 660], [146, 13, 667],
     [145, 13, 676], [142, 13, 683], [141, 13, 692], [139, 13, 708], [138, 13, 724], [137, 13, 740], [136, 13, 747],
     [135, 13, 756], [133, 13, 763], [132, 13, 780], [131, 13, 804], [130, 13, 828], [130, 13, 1427]],
    [[-36, -34, 0], [0, 0, 0], [2, 0, 104], [4, 0, 112], [6, 0, 128], [8, 0, 136], [10, 0, 151], [11, 0, 160],
     [12, 0, 167], [14, 0, 177], [15, 0, 183], [17, 0, 192], [18, 0, 199], [20, 0, 207], [21, 0, 216], [22, 0, 223],
     [22, 1, 231], [24, 1, 239], [26, 1, 255], [27, 1, 264], [28, 1, 271], [30, 1, 282], [31, 1, 288], [33, 1, 295],
     [33, 2, 303], [34, 2, 311], [35, 2, 327], [36, 2, 351], [37, 2, 399], [39, 2, 407], [40, 2, 432], [41, 2, 456],
     [43, 3, 471], [43, 4, 479], [45, 4, 496], [46, 4, 503], [48, 4, 519], [49, 4, 527], [50, 5, 543], [51, 5, 599],
     [52, 6, 639], [54, 6, 713], [55, 7, 727], [54, 7, 1476], [53, 8, 1500], [52, 8, 1530], [51, 9, 1683],
     [51, 10, 1717], [51, 10, 1957]],
    [[-34, -41, 0], [0, 0, 0], [1, 0, 31], [2, 0, 37], [4, 0, 53], [6, 0, 62], [8, 0, 70], [10, 0, 77], [12, -1, 86],
     [15, -1, 92], [17, -1, 101], [21, -2, 109], [24, -2, 117], [27, -2, 125], [28, -2, 133], [30, -2, 141],
     [32, -2, 149], [35, -2, 157], [37, -2, 165], [39, -2, 173], [41, -2, 181], [43, -2, 189], [46, -2, 197],
     [49, -2, 205], [52, -2, 213], [54, -2, 221], [56, -2, 229], [59, -2, 237], [61, -2, 245], [64, -2, 253],
     [65, -2, 261], [67, -2, 269], [70, -2, 277], [71, -2, 287], [72, -2, 293], [74, -2, 301], [76, -2, 309],
     [77, -2, 317], [79, -2, 325], [80, -2, 333], [81, -2, 340], [83, -2, 348], [85, -2, 364], [86, -2, 372],
     [87, -2, 388], [89, -2, 396], [91, -2, 412], [92, -2, 420], [93, -2, 428], [96, -2, 436], [97, -2, 444],
     [99, -2, 452], [100, -2, 468], [101, -2, 476], [102, -2, 500], [103, -2, 621], [104, -2, 636], [105, -2, 660],
     [106, -2, 676], [107, -2, 704], [108, -2, 768], [109, -2, 807], [110, -2, 828], [111, -3, 902], [112, -3, 974],
     [113, -3, 998], [113, -3, 1373]],
    [[-33, -27, 0], [0, 0, 0], [2, 0, 17], [3, 0, 40], [4, 0, 65], [5, 0, 71], [6, 0, 82], [8, 0, 87], [10, 0, 96],
     [13, 0, 103], [16, 0, 112], [17, 0, 119], [19, 0, 129], [20, 0, 135], [23, 0, 144], [24, 0, 160], [26, 0, 167],
     [27, 0, 177], [29, 0, 183], [30, 0, 191], [32, 0, 198], [34, 0, 207], [35, 0, 214], [36, 0, 223], [37, 0, 230],
     [39, 0, 238], [40, 0, 247], [42, 0, 254], [43, 0, 262], [45, 0, 270], [47, 0, 278], [50, 0, 286], [53, 0, 294],
     [56, 0, 302], [57, 0, 310], [60, 0, 319], [61, 0, 326], [62, 0, 334], [64, 0, 343], [65, 0, 358], [66, 0, 366],
     [68, 0, 374], [69, 0, 382], [70, 0, 389], [72, 0, 398], [73, 0, 406], [75, 0, 414], [77, 0, 430], [78, 0, 438],
     [79, 0, 446], [80, 0, 470], [81, 0, 478], [82, 0, 495], [83, 0, 511], [84, 0, 518], [82, 0, 892], [81, -1, 921],
     [81, -1, 1446]],
    [[-52, -44, 0], [0, 0, 0], [2, 0, 97], [7, 1, 105], [10, 2, 112], [13, 2, 121], [17, 3, 128], [22, 3, 138],
     [28, 3, 144], [36, 3, 154], [40, 5, 160], [46, 5, 171], [53, 5, 177], [59, 5, 183], [65, 5, 191], [70, 5, 198],
     [75, 5, 206], [79, 5, 215], [83, 5, 222], [85, 5, 230], [88, 5, 238], [89, 5, 246], [90, 5, 640], [91, 5, 648],
     [92, 5, 656], [93, 5, 672], [93, 5, 1069]],
    [[-46, -49, 0], [0, 0, 0], [2, 0, 58], [3, 0, 66], [5, 0, 74], [6, 1, 82], [8, 1, 92], [11, 1, 98], [15, 2, 109],
     [18, 3, 114], [22, 3, 123], [26, 5, 130], [31, 5, 138], [36, 6, 146], [40, 6, 155], [47, 7, 162], [53, 8, 171],
     [57, 9, 178], [61, 9, 187], [65, 10, 194], [66, 10, 203], [69, 11, 210], [71, 11, 219], [74, 11, 226],
     [76, 11, 235], [79, 12, 242], [82, 12, 251], [84, 13, 258], [87, 13, 266], [89, 14, 275], [90, 14, 282],
     [91, 15, 291], [93, 15, 299], [94, 15, 306], [95, 15, 322], [96, 15, 330], [98, 15, 347], [100, 15, 354],
     [101, 15, 362], [104, 15, 371], [106, 15, 386], [107, 15, 403], [108, 15, 442], [109, 15, 451], [110, 15, 458],
     [111, 17, 467], [112, 17, 475], [113, 17, 482], [114, 17, 491], [115, 17, 499], [117, 18, 506], [118, 18, 531],
     [119, 18, 546], [120, 18, 570], [121, 18, 578], [122, 19, 586], [123, 19, 759], [124, 19, 774], [125, 19, 784],
     [126, 19, 811], [127, 19, 858], [128, 19, 937], [128, 19, 1273]],
    [[-28, -35, 0], [0, 0, 0], [1, 0, 15], [2, 0, 24], [3, 0, 32], [4, 0, 56], [5, 0, 63], [6, 0, 72], [8, 2, 79],
     [9, 2, 88], [10, 2, 95], [12, 2, 103], [15, 2, 112], [16, 2, 119], [17, 2, 127], [19, 2, 135], [22, 2, 144],
     [24, 2, 151], [27, 2, 160], [29, 2, 168], [31, 2, 177], [33, 2, 184], [34, 2, 191], [36, 3, 199], [37, 3, 208],
     [38, 4, 215], [39, 4, 224], [40, 4, 231], [41, 4, 239], [42, 4, 256], [43, 4, 263], [44, 4, 272], [45, 4, 287],
     [46, 4, 295], [47, 4, 311], [48, 4, 319], [49, 4, 327], [51, 5, 335], [52, 5, 360], [53, 5, 375], [54, 5, 393],
     [55, 6, 408], [55, 6, 815]],
    [[-49, -35, 0], [0, 0, 0], [2, 0, 120], [5, 0, 134], [6, 0, 141], [9, 0, 152], [12, 0, 161], [13, 0, 164],
     [16, 2, 171], [17, 2, 185], [18, 2, 192], [20, 2, 200], [22, 2, 206], [23, 2, 212], [25, 2, 220], [27, 3, 269],
     [37, 5, 271], [40, 5, 274], [42, 5, 282], [45, 5, 294], [47, 5, 297], [48, 5, 305], [50, 5, 313], [52, 5, 321],
     [54, 5, 330], [55, 5, 346], [57, 5, 369], [58, 5, 393], [60, 5, 417], [61, 5, 450], [63, 5, 473], [64, 5, 482],
     [65, 5, 498], [65, 6, 505], [66, 6, 521], [67, 6, 842], [68, 6, 864], [68, 6, 1193]],
    [[-26, -25, 0], [0, 0, 0], [1, 0, 29], [2, 0, 53], [3, 0, 61], [4, 0, 70], [5, 0, 77], [6, 0, 86], [7, 0, 94],
     [8, 0, 101], [10, 0, 109], [12, 0, 117], [14, 1, 127], [15, 1, 134], [18, 2, 143], [21, 3, 150], [26, 3, 157],
     [30, 3, 165], [36, 5, 174], [39, 5, 181], [43, 5, 189], [47, 6, 197], [50, 7, 205], [54, 7, 214], [57, 7, 221],
     [61, 8, 229], [64, 8, 238], [67, 8, 245], [71, 8, 253], [74, 8, 262], [77, 8, 270], [81, 8, 278], [86, 8, 286],
     [89, 8, 294], [92, 9, 302], [95, 9, 310], [96, 9, 317], [98, 9, 326], [99, 9, 333], [102, 9, 343], [103, 9, 349],
     [105, 9, 357], [106, 9, 365], [108, 9, 374], [110, 9, 381], [113, 9, 389], [113, 10, 397], [115, 10, 405],
     [116, 10, 413], [117, 10, 423], [119, 10, 429], [120, 10, 438], [124, 10, 445], [128, 10, 454], [133, 10, 461],
     [136, 10, 469], [140, 10, 478], [143, 10, 486], [146, 10, 494], [147, 10, 502], [149, 11, 510], [150, 11, 517],
     [151, 11, 527], [152, 11, 533], [153, 11, 543], [154, 11, 581], [155, 11, 605], [156, 11, 638], [157, 11, 677],
     [157, 11, 1109]],
    [[-30, -18, 0], [0, 0, 0], [0, -1, 46], [2, -1, 62], [3, -1, 86], [4, -1, 94], [5, -1, 101], [7, -1, 118],
     [8, -2, 126], [10, -2, 133], [12, -2, 142], [18, -2, 150], [24, -2, 158], [29, -2, 166], [35, -2, 174],
     [43, -2, 182], [48, -2, 189], [56, -2, 197], [63, -2, 205], [67, -2, 213], [75, -2, 220], [81, -2, 228],
     [85, -2, 236], [89, -2, 245], [92, -2, 252], [96, -2, 260], [99, -2, 268], [102, -2, 277], [104, -2, 284],
     [106, -2, 293], [108, -2, 302], [110, -2, 316], [111, -2, 325], [113, -2, 332], [114, -2, 349], [116, -2, 356],
     [117, -2, 372], [119, -2, 380], [120, -2, 396], [122, -2, 412], [123, -2, 453], [125, -2, 469], [126, -2, 484],
     [128, -2, 492], [129, -2, 508], [131, -2, 516], [132, -2, 525], [133, -2, 540], [134, -2, 548], [135, -2, 565],
     [137, -2, 588], [139, -1, 604], [140, -1, 660], [141, -1, 704], [142, 0, 711], [142, 0, 1212]],
    [[-30, -35, 0], [0, 0, 0], [0, 0, 11], [2, 0, 107], [4, 0, 115], [7, 0, 122], [10, 1, 131], [14, 1, 138],
     [17, 2, 147], [22, 2, 153], [27, 2, 160], [32, 2, 168], [39, 2, 176], [45, 2, 184], [52, 2, 193], [59, 2, 200],
     [65, 2, 208], [70, 2, 215], [78, 2, 224], [82, 2, 232], [88, 2, 240], [93, 2, 247], [96, 2, 255], [100, 2, 263],
     [102, 2, 271], [103, 2, 279], [106, 2, 288], [109, 2, 295], [111, 2, 304], [113, 2, 311], [115, 2, 319],
     [117, 2, 327], [120, 2, 336], [121, 2, 343], [124, 2, 352], [126, 2, 359], [128, 2, 367], [130, 3, 376],
     [131, 3, 384], [132, 3, 391], [134, 3, 407], [135, 3, 423], [136, 3, 441], [137, 3, 455], [138, 3, 486],
     [139, 3, 542], [139, 3, 1270]],
    [[-46, -38, 0], [0, 0, 0], [3, 0, 40], [9, 0, 47], [14, 0, 55], [19, 0, 63], [26, 0, 72], [34, 0, 79], [43, 0, 87],
     [53, 0, 95], [60, 2, 104], [70, 3, 111], [80, 5, 120], [87, 5, 129], [94, 7, 135], [98, 7, 144], [103, 8, 151],
     [106, 8, 161], [107, 8, 175], [107, 9, 452], [105, 9, 484], [103, 9, 493], [102, 9, 503], [101, 9, 507],
     [100, 9, 514], [99, 9, 521], [99, 10, 529], [98, 10, 537], [97, 10, 547], [96, 11, 554], [95, 11, 576],
     [94, 11, 583], [93, 11, 591], [91, 11, 599], [89, 11, 607], [86, 11, 615], [84, 11, 632], [83, 11, 640],
     [82, 12, 656], [83, 12, 988], [84, 12, 1214], [85, 12, 1269], [86, 12, 1291], [87, 12, 1339], [87, 12, 1655]],
    [[-40, -27, 0], [0, 0, 0], [1, 0, 79], [4, 0, 87], [7, 0, 95], [11, 0, 102], [16, 0, 108], [23, 2, 115],
     [30, 3, 123], [37, 3, 131], [45, 3, 139], [53, 3, 147], [60, 3, 155], [67, 4, 163], [75, 5, 171], [82, 5, 179],
     [87, 5, 187], [91, 5, 196], [95, 5, 204], [98, 5, 212], [102, 5, 221], [104, 5, 227], [107, 5, 237], [108, 5, 252],
     [110, 6, 260], [111, 6, 276], [112, 6, 283], [113, 6, 292], [114, 6, 307], [116, 7, 315], [119, 7, 323],
     [120, 7, 332], [122, 7, 340], [124, 7, 348], [126, 7, 355], [128, 8, 363], [130, 8, 371], [132, 9, 387],
     [133, 9, 404], [134, 9, 479], [135, 9, 494], [136, 9, 508], [137, 9, 547], [138, 9, 571], [139, 9, 598],
     [140, 9, 622], [141, 9, 647], [141, 9, 971]],
    [[-55, -31, 0], [0, 0, 0], [2, 0, 76], [7, 2, 85], [9, 2, 88], [13, 3, 98], [19, 3, 105], [28, 3, 113],
     [37, 3, 122], [48, 3, 129], [59, 3, 137], [69, 3, 145], [80, 3, 153], [89, 3, 163], [95, 3, 170], [100, 3, 177],
     [105, 3, 186], [108, 3, 193], [111, 4, 201], [112, 4, 217], [113, 4, 233], [114, 4, 481], [116, 4, 497],
     [117, 4, 505], [118, 4, 514], [119, 4, 521], [120, 4, 530], [121, 4, 547], [122, 4, 553], [123, 4, 736],
     [123, 4, 1032]],
    [[-21, -32, 0], [0, 0, 0], [1, 0, 16], [2, 0, 23], [3, 0, 32], [5, 0, 48], [7, 0, 56], [9, 1, 64], [11, 1, 72],
     [14, 1, 80], [18, 1, 95], [21, 1, 99], [25, 1, 104], [29, 1, 111], [31, 1, 118], [35, 1, 126], [38, 1, 134],
     [41, 1, 142], [43, 1, 150], [45, 1, 159], [46, 1, 174], [48, 1, 182], [50, 1, 207], [51, 1, 224], [52, 1, 230],
     [54, 1, 239], [55, 1, 246], [57, 1, 254], [59, 1, 261], [62, 1, 269], [63, 1, 277], [65, 1, 284], [65, 2, 293],
     [67, 2, 301], [68, 2, 309], [70, 2, 317], [71, 2, 325], [74, 2, 333], [77, 2, 341], [80, 2, 349], [83, 2, 357],
     [87, 4, 365], [89, 4, 374], [91, 5, 382], [93, 5, 391], [95, 6, 397], [96, 6, 405], [97, 6, 413], [99, 6, 421],
     [100, 6, 454], [101, 6, 518], [102, 6, 525], [103, 6, 549], [104, 6, 573], [105, 6, 591], [106, 6, 613],
     [107, 6, 638], [108, 6, 654], [109, 6, 677], [110, 7, 693], [111, 7, 709], [112, 7, 806], [113, 7, 909],
     [114, 7, 917], [115, 8, 933], [117, 8, 957], [118, 9, 990], [118, 9, 1580]],
    [[-24, -29, 0], [0, 0, 0], [0, -1, 8], [2, -1, 40], [3, -1, 48], [5, -1, 64], [6, -1, 71], [8, -1, 86], [9, -1, 94],
     [10, -1, 102], [12, -1, 110], [13, -1, 126], [15, -1, 134], [15, 0, 142], [16, 0, 150], [17, 0, 158], [18, 0, 166],
     [20, 0, 174], [22, 1, 183], [24, 1, 199], [25, 1, 207], [27, 1, 215], [28, 1, 222], [29, 2, 238], [31, 2, 246],
     [32, 2, 263], [33, 2, 270], [34, 2, 278], [36, 2, 294], [37, 2, 302], [38, 2, 318], [39, 2, 326], [40, 2, 334],
     [41, 2, 342], [42, 2, 350], [43, 3, 358], [44, 3, 366], [45, 3, 374], [46, 3, 382], [47, 3, 391], [48, 3, 399],
     [49, 3, 406], [51, 5, 422], [52, 5, 447], [53, 5, 543], [54, 5, 630], [55, 5, 889], [55, 5, 1477]],
    [[-35, -33, 0], [0, 0, 0], [0, -1, 56], [1, -1, 84], [2, -1, 92], [3, 0, 99], [6, 0, 103], [9, 1, 111],
     [11, 1, 116], [15, 1, 122], [22, 1, 131], [30, 1, 139], [38, 1, 147], [48, 1, 155], [60, 1, 161], [70, 1, 168],
     [80, 1, 177], [92, 1, 184], [103, 4, 194], [114, 4, 200], [123, 5, 210], [133, 5, 217], [139, 6, 225],
     [146, 6, 233], [150, 6, 241], [156, 6, 248], [158, 6, 257], [160, 6, 265], [162, 6, 273], [163, 6, 280],
     [166, 6, 289], [167, 6, 305], [169, 6, 312], [170, 6, 321], [172, 6, 328], [173, 6, 336], [174, 6, 344],
     [175, 6, 352], [176, 6, 360], [177, 6, 368], [180, 8, 376], [182, 8, 400], [183, 8, 409], [185, 8, 424],
     [184, 8, 765], [183, 8, 774], [182, 8, 790], [181, 8, 794], [180, 8, 810], [179, 8, 849], [178, 8, 890],
     [177, 8, 930], [176, 8, 1123], [176, 8, 1375]],
    [[-40, -41, 0], [0, 0, 0], [1, 0, 55], [3, 0, 64], [5, 0, 69], [7, 0, 77], [9, 1, 84], [13, 1, 93], [15, 2, 100],
     [17, 2, 109], [20, 2, 116], [24, 3, 124], [26, 3, 132], [29, 3, 140], [33, 3, 148], [36, 3, 156], [39, 3, 164],
     [40, 3, 172], [43, 3, 180], [44, 3, 188], [47, 3, 196], [49, 3, 204], [52, 3, 212], [54, 3, 220], [57, 3, 228],
     [58, 3, 236], [62, 4, 244], [64, 4, 252], [65, 5, 261], [68, 5, 268], [71, 5, 277], [73, 6, 284], [75, 6, 292],
     [76, 6, 300], [78, 7, 309], [80, 7, 316], [82, 7, 324], [83, 7, 332], [85, 7, 339], [88, 7, 348], [89, 7, 357],
     [92, 7, 364], [95, 7, 372], [97, 8, 380], [101, 8, 387], [103, 8, 396], [105, 8, 403], [108, 8, 412],
     [110, 8, 420], [112, 8, 428], [114, 8, 436], [116, 8, 444], [117, 8, 452], [119, 8, 461], [120, 8, 468],
     [121, 8, 477], [122, 8, 484], [123, 8, 500], [124, 8, 508], [125, 8, 516], [127, 8, 540], [128, 8, 556],
     [129, 8, 572], [130, 8, 580], [131, 8, 699], [132, 8, 742], [133, 8, 774], [134, 8, 807], [135, 8, 830],
     [136, 8, 855], [137, 8, 878], [138, 8, 885], [139, 8, 892], [142, 8, 899], [143, 8, 916], [144, 8, 940],
     [145, 8, 956], [144, 8, 1317], [143, 8, 1326], [142, 10, 1331], [141, 10, 1341], [140, 10, 1358], [139, 10, 1364],
     [137, 10, 1420], [136, 10, 1475], [136, 10, 1923]],
    [[-37, -39, 0], [0, 0, 0], [1, 0, 16], [2, 0, 32], [3, 1, 39], [5, 1, 48], [6, 2, 56], [9, 4, 65], [14, 4, 72],
     [18, 5, 81], [21, 7, 88], [26, 8, 97], [29, 8, 104], [33, 9, 111], [38, 9, 120], [44, 11, 130], [50, 12, 136],
     [56, 12, 144], [63, 13, 152], [68, 13, 160], [76, 13, 168], [81, 13, 176], [87, 13, 184], [91, 13, 191],
     [95, 13, 200], [99, 13, 208], [102, 13, 216], [104, 13, 224], [105, 13, 232], [106, 13, 248], [107, 13, 272],
     [108, 13, 328], [108, 13, 936]],
    [[-46, -43, 0], [0, 0, 0], [0, 2, 48], [0, 3, 64], [1, 3, 80], [2, 3, 88], [2, 4, 96], [4, 4, 104], [5, 4, 112],
     [6, 4, 120], [8, 5, 128], [10, 5, 136], [12, 5, 144], [13, 5, 152], [15, 5, 160], [17, 6, 168], [19, 6, 176],
     [22, 6, 183], [24, 6, 192], [28, 7, 199], [32, 7, 208], [39, 7, 216], [44, 7, 225], [48, 7, 232], [54, 7, 240],
     [58, 7, 248], [62, 7, 256], [65, 7, 264], [68, 7, 273], [71, 7, 280], [73, 7, 288], [75, 7, 296], [76, 7, 304],
     [78, 7, 336], [79, 7, 371], [80, 7, 396], [81, 7, 404], [82, 7, 414], [83, 7, 424], [84, 7, 432], [85, 7, 441],
     [87, 7, 448], [88, 7, 464], [89, 8, 488], [89, 9, 983], [88, 9, 1064], [87, 9, 1104], [86, 9, 1174], [85, 9, 1203],
     [85, 9, 1647]],
    [[-36, -43, 0], [0, 0, 0], [0, 1, 19], [0, 3, 31], [1, 3, 38], [2, 3, 49], [4, 3, 54], [5, 3, 66], [8, 3, 74],
     [11, 4, 83], [12, 4, 90], [14, 4, 98], [16, 4, 108], [19, 5, 114], [23, 5, 124], [26, 5, 130], [30, 6, 138],
     [33, 6, 146], [38, 7, 154], [44, 7, 162], [50, 7, 171], [57, 7, 178], [61, 7, 187], [65, 7, 194], [68, 7, 202],
     [70, 7, 210], [74, 7, 219], [77, 7, 226], [80, 7, 235], [83, 7, 242], [85, 7, 250], [88, 7, 259], [90, 7, 267],
     [92, 7, 274], [95, 8, 283], [98, 8, 290], [100, 8, 299], [102, 8, 307], [105, 8, 315], [109, 8, 324],
     [111, 8, 330], [115, 8, 341], [119, 8, 347], [122, 8, 354], [125, 8, 362], [128, 8, 370], [129, 8, 378],
     [130, 8, 394], [131, 8, 499], [132, 8, 508], [133, 8, 524], [135, 8, 530], [136, 8, 547], [137, 8, 554],
     [138, 8, 563], [139, 8, 587], [140, 8, 603], [141, 8, 989], [142, 8, 1089], [142, 8, 1433]],
    [[-41, -51, 0], [0, 0, 0], [1, 0, 34], [3, 1, 40], [6, 1, 50], [8, 2, 55], [10, 2, 60], [13, 4, 69], [16, 5, 75],
     [18, 5, 82], [21, 6, 89], [26, 6, 97], [32, 8, 105], [37, 8, 114], [44, 9, 121], [51, 9, 130], [56, 10, 137],
     [63, 11, 147], [67, 13, 153], [69, 13, 161], [72, 14, 169], [74, 14, 193], [75, 14, 209], [76, 14, 250],
     [77, 14, 265], [78, 14, 282], [80, 14, 314], [81, 14, 321], [82, 15, 337], [83, 15, 343], [84, 15, 351],
     [86, 15, 360], [87, 15, 376], [88, 15, 408], [89, 15, 487], [90, 15, 519], [91, 15, 551], [92, 15, 567],
     [93, 16, 592], [94, 16, 679], [95, 16, 704], [96, 16, 736], [96, 16, 1111]],
    [[-31, -25, 0], [0, 0, 0], [0, -1, 51], [2, -1, 64], [4, -1, 77], [12, -1, 83], [19, -1, 89], [26, -1, 97],
     [34, -1, 105], [45, -1, 111], [55, -1, 119], [65, -1, 127], [73, -1, 135], [83, -1, 144], [94, -1, 151],
     [105, -1, 161], [113, -1, 167], [122, -1, 176], [127, -1, 183], [133, -1, 192], [137, -1, 199], [140, -1, 207],
     [143, -1, 215], [144, -1, 223], [145, 0, 240], [146, 0, 271], [147, 0, 295], [148, 0, 376], [150, 0, 389],
     [151, 0, 398], [152, 0, 404], [153, 0, 411], [154, 0, 428], [155, 0, 444], [156, 1, 459], [158, 1, 488],
     [159, 1, 496], [160, 1, 519], [161, 1, 543], [162, 1, 704], [163, 1, 736], [163, 2, 760], [164, 2, 800],
     [165, 2, 1400], [166, 2, 1431], [167, 2, 1497], [167, 2, 1831]],
    [[-37, -30, 0], [0, 0, 0], [1, 0, 33], [2, 0, 41], [3, 1, 49], [7, 2, 57], [9, 3, 63], [14, 4, 70], [20, 5, 79],
     [25, 7, 86], [32, 8, 94], [39, 8, 102], [44, 8, 109], [49, 8, 118], [53, 8, 126], [57, 8, 135], [61, 8, 142],
     [65, 8, 150], [67, 8, 158], [69, 8, 167], [72, 8, 174], [75, 8, 182], [78, 8, 190], [79, 8, 199], [82, 8, 206],
     [85, 8, 214], [88, 8, 222], [91, 8, 231], [94, 8, 238], [97, 8, 247], [99, 8, 254], [101, 8, 261], [102, 8, 270],
     [104, 8, 278], [106, 8, 286], [108, 8, 294], [109, 8, 302], [110, 8, 310], [111, 8, 318], [113, 8, 334],
     [114, 8, 350], [115, 8, 386], [116, 8, 392], [117, 8, 401], [119, 8, 417], [121, 8, 424], [123, 9, 438],
     [124, 9, 447], [126, 9, 454], [127, 9, 463], [128, 9, 470], [129, 9, 478], [131, 9, 494], [133, 10, 502],
     [133, 11, 511], [134, 11, 525], [135, 11, 533], [136, 11, 550], [137, 11, 574], [138, 11, 583], [139, 11, 589],
     [139, 12, 606], [141, 12, 614], [142, 12, 621], [143, 12, 638], [143, 12, 1085]],
    [[-35, -38, 0], [0, 0, 0], [1, 0, 50], [2, 0, 60], [5, 0, 65], [7, 0, 73], [10, 0, 83], [13, 0, 86], [15, 0, 93],
     [17, 0, 101], [21, 0, 109], [25, 0, 117], [28, 0, 125], [32, 0, 133], [36, 0, 141], [40, 0, 149], [46, 0, 157],
     [50, 0, 165], [54, 0, 173], [60, 0, 181], [64, 0, 189], [66, 0, 197], [70, 0, 205], [73, 0, 213], [74, 0, 222],
     [76, 0, 229], [77, 0, 238], [79, 0, 245], [80, 0, 261], [82, 0, 270], [83, 0, 286], [85, 0, 293], [86, 0, 310],
     [88, 0, 333], [89, 0, 381], [91, 0, 414], [92, 0, 558], [94, 0, 599], [94, 0, 925]],
    [[-25, -43, 0], [0, 0, 0], [2, 0, 9], [4, 0, 12], [6, 0, 18], [8, 0, 27], [9, 0, 34], [10, 0, 42], [13, 0, 50],
     [14, 0, 59], [16, 0, 65], [17, 0, 73], [19, 0, 81], [20, 0, 89], [22, 0, 97], [24, 0, 114], [25, 0, 121],
     [26, 0, 129], [28, 0, 137], [30, 0, 146], [32, 0, 154], [33, 0, 161], [35, 0, 170], [37, 0, 178], [38, 0, 186],
     [40, 0, 193], [42, 0, 202], [43, 0, 210], [46, 0, 218], [48, 0, 226], [50, 0, 234], [53, 0, 243], [55, 0, 250],
     [59, 0, 259], [63, -1, 266], [65, -1, 274], [68, -1, 282], [71, -1, 290], [74, -1, 297], [77, -1, 305],
     [80, -1, 314], [84, -1, 322], [85, -1, 329], [88, -1, 337], [92, -1, 345], [95, -1, 353], [99, -1, 361],
     [102, -1, 369], [106, -1, 377], [107, -1, 386], [110, -1, 394], [111, -1, 402], [113, -1, 410], [114, -1, 418],
     [116, -1, 426], [117, -1, 434], [118, -1, 450], [118, -1, 937]],
    [[-25, -22, 0], [0, 0, 0], [1, 0, 52], [2, 0, 60], [4, 0, 67], [8, 0, 79], [10, 0, 84], [14, 0, 90], [17, 0, 97],
     [20, 0, 104], [23, 0, 112], [28, 0, 120], [31, 0, 128], [35, 0, 136], [39, 1, 144], [43, 1, 153], [47, 1, 160],
     [50, 1, 168], [53, 2, 176], [56, 2, 184], [58, 2, 192], [60, 3, 200], [61, 3, 208], [63, 4, 217], [64, 4, 225],
     [65, 4, 241], [66, 4, 250], [67, 4, 256], [68, 4, 266], [70, 4, 273], [72, 4, 281], [74, 4, 297], [75, 4, 304],
     [76, 4, 329], [77, 4, 352], [77, 4, 855]],
    [[-37, -25, 0], [0, 0, 0], [2, 0, 9], [4, 0, 18], [5, 0, 28], [7, 0, 31], [9, 0, 38], [11, 0, 46], [12, 0, 54],
     [15, 1, 62], [16, 1, 70], [19, 1, 77], [22, 2, 85], [24, 2, 93], [27, 2, 101], [31, 2, 110], [35, 2, 117],
     [40, 2, 126], [48, 3, 133], [55, 4, 142], [65, 4, 150], [73, 4, 158], [78, 4, 165], [84, 4, 174], [88, 4, 181],
     [90, 4, 190], [91, 4, 197], [93, 4, 205], [94, 4, 214], [96, 4, 245], [95, 4, 555], [93, 4, 567], [91, 4, 574],
     [90, 4, 580], [88, 4, 586], [87, 4, 597], [86, 4, 608], [85, 4, 617], [84, 4, 640], [83, 4, 688], [82, 4, 696],
     [81, 4, 712], [80, 4, 743], [79, 4, 768], [78, 4, 775], [77, 5, 799], [75, 5, 1179], [74, 5, 1298], [73, 5, 1421],
     [72, 5, 1437], [72, 5, 1653]],
    [[-34, -26, 0], [0, 0, 0], [1, 0, 39], [4, 0, 47], [6, 0, 63], [8, 1, 71], [11, 1, 78], [14, 3, 87], [15, 3, 94],
     [17, 4, 103], [19, 5, 110], [20, 5, 118], [21, 5, 126], [23, 6, 134], [25, 6, 142], [26, 7, 150], [28, 7, 158],
     [29, 7, 167], [32, 7, 174], [33, 7, 183], [36, 7, 191], [38, 7, 199], [40, 7, 206], [42, 7, 214], [44, 7, 222],
     [46, 7, 230], [49, 7, 247], [49, 8, 254], [51, 8, 263], [53, 8, 271], [55, 8, 278], [56, 8, 287], [57, 8, 303],
     [58, 8, 311], [59, 10, 320], [60, 10, 327], [61, 10, 371], [62, 10, 381], [63, 11, 404], [64, 11, 475],
     [65, 11, 499], [65, 11, 854]],
    [[-52, -38, 0], [0, 0, 0], [0, 2, 12], [0, 3, 19], [0, 4, 39], [0, 5, 46], [1, 6, 54], [3, 6, 62], [5, 6, 70],
     [7, 6, 78], [8, 6, 85], [11, 7, 94], [14, 9, 102], [15, 9, 110], [18, 9, 118], [20, 9, 126], [22, 9, 134],
     [25, 9, 142], [26, 10, 150], [29, 10, 158], [33, 10, 166], [38, 10, 174], [42, 10, 182], [46, 10, 191],
     [51, 11, 197], [54, 11, 207], [57, 11, 213], [61, 11, 222], [64, 11, 229], [66, 11, 238], [69, 11, 246],
     [70, 11, 254], [73, 11, 262], [75, 11, 270], [76, 11, 278], [77, 11, 294], [78, 11, 302], [79, 11, 326],
     [80, 11, 334], [81, 11, 342], [82, 11, 359], [83, 11, 366], [84, 11, 375], [85, 11, 391], [86, 11, 398],
     [87, 11, 406], [88, 11, 414], [89, 11, 422], [90, 11, 430], [91, 11, 438], [92, 11, 446], [94, 11, 454],
     [95, 11, 478], [96, 11, 494], [97, 11, 561], [98, 11, 580], [99, 11, 585], [100, 11, 610], [101, 12, 618],
     [102, 12, 625], [103, 13, 641], [104, 13, 658], [105, 13, 690], [106, 13, 766], [107, 13, 842], [108, 13, 874],
     [109, 13, 1310], [110, 13, 1326], [111, 13, 1374], [111, 13, 1861]],
    [[-45, -42, 0], [0, 0, 0], [2, 0, 40], [4, 1, 49], [6, 2, 56], [7, 2, 65], [11, 2, 72], [17, 3, 82], [24, 3, 88],
     [29, 5, 96], [39, 6, 104], [44, 6, 114], [54, 8, 119], [59, 8, 128], [65, 8, 136], [72, 8, 145], [76, 8, 152],
     [79, 9, 161], [81, 10, 168], [84, 10, 177], [86, 11, 184], [87, 11, 200], [88, 11, 207], [89, 11, 251],
     [90, 11, 284], [91, 11, 355], [90, 11, 553], [89, 11, 576], [88, 11, 584], [87, 11, 592], [86, 11, 624],
     [85, 11, 632], [84, 11, 664], [83, 11, 672], [82, 11, 686], [81, 11, 708], [80, 11, 713], [78, 13, 729],
     [79, 13, 944], [80, 13, 993], [81, 13, 995], [82, 12, 1000], [83, 12, 1064], [84, 12, 1088], [85, 12, 1108],
     [85, 12, 1399]],
    [[-25, -20, 0], [0, 0, 0], [4, -1, 13], [7, -1, 20], [18, -3, 32], [23, -4, 40], [31, -5, 46], [38, -6, 58],
     [47, -8, 64], [52, -8, 69], [57, -8, 75], [64, -8, 81], [69, -8, 90], [73, -8, 98], [77, -8, 105], [80, -8, 112],
     [82, -8, 122], [84, -8, 129], [85, -7, 137], [88, -7, 145], [90, -7, 153], [91, -7, 161], [92, -7, 169],
     [94, -7, 177], [96, -5, 185], [97, -5, 201], [99, -5, 208], [100, -4, 228], [101, -4, 244], [102, -4, 253],
     [104, -3, 261], [106, -3, 269], [107, -2, 277], [108, -2, 284], [111, -1, 293], [113, 0, 300], [115, 0, 310],
     [116, 0, 314], [117, 0, 331], [118, 0, 339], [119, 0, 461], [120, 0, 476], [121, 0, 485], [122, 0, 508],
     [123, 1, 541], [124, 1, 595], [125, 1, 610], [126, 1, 626], [127, 1, 633], [128, 1, 657], [129, 1, 665],
     [130, 1, 672], [130, 1, 1088]],
    [[-38, -31, 0], [0, 0, 0], [0, -1, 50], [2, -1, 65], [3, -1, 73], [5, -1, 81], [9, -1, 88], [12, -1, 97],
     [17, 0, 105], [21, 0, 113], [26, 0, 121], [32, 0, 129], [37, 0, 139], [41, 0, 145], [48, 0, 154], [52, 0, 160],
     [56, 0, 167], [59, 0, 174], [62, 0, 183], [65, 0, 191], [67, 0, 199], [68, 0, 207], [70, 0, 216], [72, 0, 223],
     [74, 0, 231], [75, 0, 239], [77, 0, 247], [78, 0, 255], [80, 0, 271], [81, 0, 287], [83, 0, 303], [84, 0, 320],
     [85, 0, 336], [86, 0, 353], [87, 0, 359], [88, 0, 375], [90, 0, 392], [91, 0, 407], [92, 0, 415], [93, 0, 422],
     [95, 0, 431], [96, 0, 439], [98, 0, 455], [99, 0, 487], [101, 0, 511], [102, 0, 527], [104, 0, 552], [105, 0, 579],
     [107, 0, 602], [108, 0, 618], [110, 0, 634], [111, 0, 682], [112, 0, 720], [113, 0, 737], [114, 0, 743],
     [115, 0, 775], [116, 0, 801], [117, 0, 824], [118, 0, 974], [119, 0, 1005], [119, 0, 1487]],
    [[-46, -22, 0], [0, 0, 0], [1, 0, 4], [2, 0, 14], [4, 0, 19], [7, -2, 27], [9, -2, 35], [12, -2, 43], [16, -2, 52],
     [20, -2, 60], [26, -2, 68], [32, -2, 76], [39, -2, 84], [44, -2, 92], [52, -2, 99], [59, -2, 108], [66, -2, 116],
     [73, -2, 124], [81, -3, 132], [88, -3, 140], [97, -4, 148], [103, -4, 155], [109, -4, 163], [113, -4, 172],
     [118, -4, 179], [120, -4, 189], [122, -4, 196], [123, -4, 203], [124, -4, 211], [125, -4, 227], [126, -5, 259],
     [126, -6, 539], [125, -6, 555], [123, -6, 571], [122, -6, 580], [121, -6, 595], [120, -6, 605], [119, -6, 611],
     [118, -6, 643], [117, -6, 675], [116, -6, 707], [116, -6, 1171]],
    [[-45, -43, 0], [0, 0, 0], [0, 1, 25], [3, 1, 41], [5, 1, 58], [6, 2, 64], [7, 2, 73], [9, 2, 81], [12, 2, 89],
     [13, 3, 96], [15, 3, 105], [18, 3, 112], [22, 3, 121], [26, 3, 128], [32, 3, 137], [38, 3, 145], [42, 3, 152],
     [45, 3, 161], [49, 3, 169], [51, 3, 179], [53, 3, 185], [56, 3, 194], [58, 3, 201], [60, 3, 216], [61, 3, 225],
     [62, 3, 249], [63, 3, 257], [64, 3, 281], [65, 3, 289], [65, 3, 305], [66, 3, 312], [68, 3, 321], [70, 3, 336],
     [72, 3, 344], [73, 3, 352], [74, 3, 361], [75, 3, 369], [77, 3, 378], [78, 3, 385], [79, 3, 394], [80, 3, 400],
     [81, 3, 416], [81, 3, 809]],
    [[-29, -37, 0], [0, 0, 0], [2, 0, 65], [3, 0, 74], [5, 0, 85], [7, 0, 92], [11, 0, 98], [13, 0, 109], [17, 1, 113],
     [20, 1, 117], [22, 1, 126], [25, 1, 134], [28, 1, 142], [29, 1, 150], [31, 1, 158], [32, 1, 166], [34, 1, 176],
     [35, 1, 182], [37, 1, 193], [39, 3, 197], [41, 3, 209], [42, 3, 213], [44, 3, 222], [46, 3, 230], [48, 3, 238],
     [49, 3, 246], [50, 3, 254], [52, 3, 262], [53, 3, 271], [55, 3, 278], [57, 3, 286], [59, 3, 293], [61, 3, 303],
     [63, 4, 310], [65, 4, 318], [67, 4, 335], [68, 4, 342], [69, 4, 350], [70, 5, 358], [71, 5, 366], [72, 5, 375],
     [73, 5, 382], [74, 5, 391], [75, 5, 413], [76, 5, 420], [77, 5, 428], [78, 5, 444], [79, 5, 460], [80, 5, 477],
     [81, 5, 535], [82, 5, 552], [83, 5, 568], [84, 5, 600], [85, 5, 608], [86, 5, 653], [87, 5, 729], [88, 5, 806],
     [88, 5, 1084]],
    [[-33, -23, 0], [0, 0, 0], [2, 0, 75], [5, 0, 84], [7, 1, 94], [14, 1, 100], [18, 3, 110], [23, 3, 116],
     [30, 3, 126], [37, 3, 132], [44, 3, 142], [48, 3, 148], [52, 3, 154], [55, 3, 161], [58, 3, 169], [59, 3, 177],
     [61, 3, 185], [62, 3, 192], [63, 3, 200], [64, 3, 208], [65, 3, 225], [65, 3, 240], [66, 3, 256], [67, 3, 264],
     [68, 3, 288], [69, 3, 305], [70, 3, 322], [71, 3, 522], [72, 3, 529], [73, 3, 539], [74, 3, 562], [75, 3, 594],
     [75, 3, 992]],
    [[-38, -28, 0], [0, 0, 0], [1, 0, 65], [2, 0, 72], [4, 0, 80], [5, 0, 89], [7, 0, 98], [10, 0, 105], [13, 0, 111],
     [16, 0, 118], [18, 0, 126], [21, 0, 134], [24, 0, 142], [27, 0, 150], [30, 0, 158], [33, 0, 166], [35, 1, 175],
     [39, 1, 182], [42, 1, 190], [46, 1, 198], [48, 1, 207], [52, 1, 215], [54, 1, 224], [57, 1, 231], [60, 1, 239],
     [62, 1, 247], [65, 1, 255], [66, 1, 263], [69, 1, 271], [71, 1, 278], [73, 1, 287], [75, 1, 294], [77, 1, 303],
     [78, 2, 310], [80, 2, 318], [82, 2, 326], [84, 2, 334], [85, 2, 342], [88, 2, 350], [90, 2, 358], [92, 2, 366],
     [95, 2, 374], [96, 2, 382], [98, 2, 390], [101, 2, 398], [102, 2, 407], [104, 2, 414], [106, 2, 423],
     [108, 2, 430], [110, 2, 446], [112, 2, 456], [113, 2, 471], [114, 2, 478], [115, 2, 487], [117, 2, 510],
     [118, 2, 518], [120, 2, 535], [121, 2, 542], [124, 2, 550], [125, 2, 558], [127, 2, 566], [129, 2, 574],
     [132, 2, 582], [135, 2, 591], [136, 2, 599], [139, 2, 607], [142, 2, 614], [143, 2, 630], [145, 2, 638],
     [146, 2, 654], [147, 2, 711], [148, 2, 734], [149, 2, 742], [150, 2, 767], [151, 2, 783], [152, 2, 892],
     [153, 2, 932], [154, 2, 961], [155, 2, 1002], [157, 2, 1025], [158, 3, 1043], [159, 3, 1065], [160, 3, 1073],
     [161, 4, 1097], [162, 4, 1160], [163, 4, 1206], [164, 4, 1295], [165, 4, 1343], [165, 4, 1918]],
    [[-47, -28, 0], [0, 0, 0], [-1, 0, 71], [-1, 1, 131], [-1, 2, 139], [1, 3, 154], [3, 4, 163], [6, 5, 174],
     [9, 6, 181], [13, 6, 187], [15, 7, 194], [17, 7, 199], [20, 8, 207], [25, 8, 216], [28, 9, 222], [31, 9, 232],
     [35, 9, 238], [40, 9, 246], [43, 9, 254], [47, 9, 262], [53, 9, 270], [57, 9, 278], [61, 9, 286], [65, 9, 294],
     [68, 9, 302], [73, 9, 310], [78, 9, 318], [83, 9, 326], [90, 9, 334], [94, 10, 342], [98, 10, 350], [102, 10, 358],
     [106, 10, 366], [111, 10, 374], [113, 10, 382], [116, 10, 390], [119, 10, 398], [122, 10, 406], [124, 10, 415],
     [127, 10, 422], [129, 10, 432], [131, 10, 438], [133, 10, 448], [136, 10, 454], [137, 10, 462], [138, 10, 470],
     [139, 10, 478], [140, 10, 487], [141, 10, 502], [142, 10, 518], [143, 10, 542], [144, 10, 766], [145, 10, 774],
     [146, 10, 782], [147, 10, 807], [148, 10, 815], [149, 10, 822], [150, 10, 838], [150, 11, 855], [151, 11, 1007],
     [152, 11, 1057], [153, 11, 1065], [154, 11, 1073], [154, 12, 1080], [154, 12, 2526]],
    [[-31, -40, 0], [0, 0, 0], [0, 0, 12], [2, 0, 66], [5, 0, 74], [7, 0, 82], [12, 2, 90], [15, 2, 98], [18, 2, 106],
     [23, 3, 114], [26, 3, 122], [31, 3, 130], [36, 3, 138], [41, 4, 146], [46, 4, 154], [52, 5, 162], [54, 5, 171],
     [60, 7, 178], [64, 7, 187], [68, 7, 194], [70, 7, 204], [74, 7, 210], [77, 7, 218], [81, 7, 226], [85, 7, 234],
     [88, 7, 243], [92, 7, 250], [95, 7, 258], [97, 7, 267], [100, 7, 274], [102, 7, 282], [104, 7, 290], [106, 7, 298],
     [108, 7, 306], [110, 7, 314], [111, 7, 323], [113, 7, 330], [114, 7, 338], [117, 7, 347], [118, 7, 354],
     [121, 7, 362], [124, 7, 371], [126, 7, 378], [129, 7, 387], [132, 7, 394], [135, 7, 404], [138, 7, 410],
     [139, 7, 419], [142, 7, 426], [143, 7, 434], [147, 8, 442], [149, 8, 451], [150, 8, 458], [151, 9, 467],
     [152, 9, 474], [154, 9, 482], [156, 9, 490], [157, 9, 499], [159, 9, 506], [161, 9, 515], [163, 9, 522],
     [164, 9, 531], [166, 9, 538], [167, 9, 547], [169, 9, 554], [170, 9, 570], [172, 9, 587], [173, 10, 594],
     [171, 10, 885], [170, 10, 894], [169, 10, 909], [168, 10, 915], [167, 10, 922], [166, 11, 939], [165, 11, 962],
     [164, 11, 970], [163, 11, 995], [162, 11, 1010], [161, 11, 1026], [159, 11, 1034], [158, 11, 1042],
     [157, 12, 1058], [156, 12, 1082], [156, 12, 1721]],
    [[-14, -20, 0], [0, 0, 0], [0, -1, 11], [1, -1, 19], [2, -2, 42], [3, -2, 48], [4, -2, 57], [5, -2, 61],
     [6, -2, 70], [7, -2, 77], [9, -2, 86], [11, -2, 93], [14, -2, 102], [19, -2, 109], [27, -3, 116], [34, -4, 126],
     [42, -6, 132], [50, -6, 142], [59, -6, 148], [69, -6, 158], [78, -6, 165], [89, -6, 172], [96, -6, 180],
     [104, -6, 189], [109, -6, 196], [114, -6, 205], [119, -6, 212], [124, -6, 221], [127, -6, 228], [130, -6, 236],
     [133, -6, 245], [134, -6, 252], [137, -6, 260], [138, -6, 269], [139, -6, 276], [140, -6, 284], [141, -6, 308],
     [142, -6, 332], [143, -6, 450], [142, -6, 849], [141, -6, 856], [140, -6, 898], [139, -6, 904], [138, -5, 927],
     [137, -5, 952], [136, -5, 982], [136, -4, 1066], [134, -4, 1069], [133, -3, 1084], [132, -3, 1332],
     [131, -3, 1388], [131, -2, 1405], [130, -2, 1412], [129, -1, 1476], [129, -1, 1899]],
    [[-34, -39, 0], [0, 0, 0], [2, 0, 79], [4, 0, 95], [7, 0, 103], [10, 0, 112], [14, 0, 119], [17, 0, 129],
     [21, 0, 135], [26, 1, 144], [30, 3, 152], [36, 3, 159], [40, 3, 168], [47, 3, 176], [53, 3, 183], [57, 3, 192],
     [62, 3, 200], [65, 4, 208], [71, 4, 215], [75, 4, 224], [79, 4, 232], [85, 4, 239], [88, 4, 248], [91, 4, 256],
     [93, 4, 264], [95, 4, 272], [97, 5, 279], [98, 5, 288], [99, 5, 295], [100, 5, 304], [101, 5, 312], [103, 5, 320],
     [104, 5, 336], [105, 5, 356], [106, 5, 366], [107, 5, 380], [109, 5, 403], [110, 5, 428], [111, 5, 444],
     [112, 5, 454], [113, 6, 460], [114, 6, 470], [115, 6, 485], [116, 7, 491], [118, 7, 503], [119, 7, 517],
     [121, 7, 529], [122, 7, 536], [122, 8, 546], [123, 8, 560], [124, 8, 568], [125, 8, 584], [126, 8, 608],
     [127, 9, 616], [128, 9, 624], [128, 10, 664], [129, 10, 692], [130, 10, 716], [131, 10, 756], [131, 10, 1615]],
    [[-27, -27, 0], [0, 0, 0], [1, 0, 101], [2, 0, 110], [4, 1, 126], [5, 2, 142], [7, 3, 150], [8, 3, 158],
     [10, 4, 167], [12, 4, 173], [14, 5, 180], [16, 5, 188], [19, 5, 195], [22, 5, 205], [25, 5, 212], [28, 5, 220],
     [32, 5, 227], [35, 5, 236], [39, 5, 245], [42, 5, 251], [46, 5, 261], [49, 5, 268], [51, 5, 276], [54, 5, 284],
     [56, 5, 292], [57, 5, 299], [60, 5, 308], [61, 5, 324], [63, 5, 332], [64, 5, 348], [65, 5, 372], [66, 5, 395],
     [68, 5, 412], [69, 5, 428], [71, 5, 444], [72, 6, 452], [74, 7, 476], [75, 7, 492], [76, 7, 500], [75, 7, 1309],
     [74, 7, 1357], [73, 7, 1472], [73, 7, 1706]],
    [[-44, -46, 0], [0, 0, 0], [0, 1, 23], [0, 2, 36], [1, 3, 51], [2, 4, 96], [3, 6, 99], [4, 6, 104], [5, 6, 112],
     [6, 8, 121], [9, 8, 129], [10, 9, 138], [12, 9, 144], [13, 10, 153], [17, 11, 160], [18, 11, 169], [21, 11, 176],
     [24, 12, 184], [25, 12, 192], [27, 13, 200], [29, 13, 208], [30, 13, 216], [31, 13, 226], [33, 15, 233],
     [34, 15, 242], [35, 15, 249], [36, 15, 265], [37, 16, 274], [38, 16, 282], [39, 16, 297], [40, 17, 305],
     [41, 17, 321], [42, 17, 329], [44, 18, 337], [44, 19, 353], [45, 19, 361], [46, 19, 377], [47, 19, 384],
     [49, 19, 408], [50, 19, 425], [50, 20, 442], [51, 20, 458], [51, 20, 928]],
    [[-47, -33, 0], [0, 0, 0], [0, 1, 32], [0, 2, 48], [0, 3, 92], [2, 5, 112], [4, 5, 136], [5, 5, 144], [7, 5, 152],
     [8, 5, 160], [10, 5, 169], [11, 5, 176], [14, 5, 185], [17, 5, 192], [19, 5, 201], [23, 5, 209], [27, 5, 216],
     [32, 5, 224], [36, 5, 232], [41, 5, 240], [47, 5, 248], [52, 5, 256], [57, 5, 264], [63, 5, 272], [66, 5, 280],
     [71, 5, 288], [77, 5, 295], [81, 5, 304], [85, 5, 312], [89, 5, 319], [93, 5, 328], [95, 5, 335], [98, 5, 343],
     [101, 5, 351], [103, 5, 360], [104, 5, 367], [105, 5, 375], [106, 5, 392], [108, 5, 409], [109, 5, 448],
     [110, 5, 464], [111, 5, 480], [112, 5, 520], [113, 5, 543], [114, 5, 567], [115, 6, 576], [116, 6, 592],
     [117, 6, 609], [119, 6, 615], [120, 7, 631], [121, 7, 642], [122, 7, 647], [123, 7, 663], [124, 7, 673],
     [125, 7, 688], [126, 7, 703], [126, 8, 720], [128, 8, 753], [129, 8, 775], [131, 8, 824], [132, 8, 1264],
     [132, 8, 1695]],
    [[-41, -38, 0], [0, 0, 0], [0, 2, 66], [0, 3, 106], [1, 3, 113], [2, 3, 128], [3, 4, 137], [5, 5, 152], [6, 5, 164],
     [8, 5, 172], [10, 5, 178], [13, 5, 185], [17, 5, 188], [21, 5, 196], [25, 5, 205], [30, 5, 212], [37, 5, 222],
     [42, 5, 228], [49, 5, 236], [56, 5, 244], [63, 5, 252], [70, 5, 260], [75, 5, 268], [82, 5, 276], [86, 5, 284],
     [93, 5, 292], [97, 5, 300], [101, 5, 308], [103, 5, 316], [106, 5, 324], [107, 5, 332], [109, 5, 340],
     [110, 6, 356], [112, 7, 372], [113, 8, 428], [114, 8, 436], [115, 8, 453], [116, 8, 477], [115, 8, 784],
     [114, 8, 802], [113, 8, 824], [112, 8, 848], [110, 8, 872], [109, 8, 902], [107, 8, 940], [106, 8, 965],
     [105, 8, 1201], [104, 8, 1425], [103, 8, 1435], [103, 8, 1780]],
    [[-39, -36, 0], [0, 0, 0], [3, 1, 88], [4, 2, 98], [6, 2, 104], [10, 4, 112], [12, 4, 120], [15, 4, 128],
     [17, 4, 136], [21, 4, 145], [25, 4, 153], [32, 4, 161], [41, 4, 168], [48, 3, 177], [59, 2, 184], [66, 2, 193],
     [73, 0, 200], [81, -1, 209], [87, -1, 216], [91, -1, 225], [94, -1, 232], [95, -1, 248], [94, -1, 544],
     [92, -1, 552], [91, -1, 561], [89, -1, 569], [88, -1, 584], [87, -1, 592], [86, -1, 616], [86, -1, 1015]],
    [[-43, -46, 0], [0, 0, 0], [0, 1, 25], [1, 1, 31], [2, 1, 38], [3, 1, 45], [4, 1, 52], [5, 1, 59], [6, 2, 67],
     [7, 2, 76], [9, 3, 83], [9, 4, 91], [10, 4, 99], [11, 4, 108], [12, 5, 115], [15, 6, 124], [16, 6, 131],
     [18, 6, 147], [19, 7, 155], [20, 7, 163], [21, 7, 171], [22, 7, 195], [24, 7, 228], [25, 7, 243], [27, 7, 254],
     [28, 7, 259], [30, 7, 267], [31, 7, 275], [34, 7, 282], [35, 7, 299], [38, 7, 308], [39, 7, 325], [40, 7, 331],
     [41, 7, 347], [42, 7, 355], [44, 7, 363], [45, 7, 374], [46, 7, 379], [47, 7, 387], [48, 7, 395], [49, 7, 403],
     [50, 7, 411], [51, 7, 420], [52, 7, 427], [53, 7, 436], [55, 7, 452], [56, 7, 459], [58, 7, 476], [59, 7, 483],
     [60, 7, 500], [61, 7, 507], [62, 7, 515], [63, 7, 524], [65, 7, 541], [65, 7, 547], [67, 7, 572], [68, 7, 700],
     [69, 7, 733], [70, 7, 749], [71, 7, 773], [71, 8, 789], [72, 8, 853], [73, 8, 869], [74, 8, 970], [75, 8, 992],
     [76, 8, 1046], [76, 8, 1362]],
    [[-47, -37, 0], [0, 0, 0], [2, 0, 67], [5, 0, 77], [10, 1, 94], [13, 1, 104], [20, 1, 113], [24, 1, 117],
     [28, 1, 125], [33, 1, 134], [39, 1, 140], [43, 1, 148], [48, 1, 156], [53, 1, 164], [56, 1, 170], [58, 1, 178],
     [59, 1, 186], [61, 1, 195], [62, 1, 202], [63, 1, 211], [65, 1, 218], [65, 1, 227], [68, 1, 234], [70, 1, 243],
     [73, 1, 250], [75, 2, 259], [76, 2, 266], [79, 3, 274], [80, 3, 282], [82, 3, 290], [83, 3, 299], [85, 3, 306],
     [86, 3, 315], [88, 3, 322], [89, 3, 331], [91, 3, 356], [93, 3, 360], [95, 3, 365], [96, 3, 371], [98, 3, 378],
     [100, 3, 386], [102, 3, 394], [106, 3, 402], [111, 3, 410], [115, 3, 418], [120, 3, 426], [127, 3, 434],
     [132, 3, 442], [135, 3, 450], [139, 4, 458], [141, 5, 466], [143, 5, 475], [144, 5, 490], [145, 6, 498],
     [144, 6, 802], [143, 6, 811], [141, 6, 818], [139, 6, 834], [138, 6, 843], [137, 6, 874], [136, 6, 903],
     [135, 6, 928], [134, 6, 956], [133, 6, 964], [132, 6, 987], [131, 6, 1012], [129, 6, 1306], [129, 5, 1318],
     [128, 3, 1357], [128, 3, 1721]],
    [[-42, -42, 0], [0, 0, 0], [0, 1, 7], [1, 2, 22], [2, 2, 38], [3, 2, 46], [4, 2, 54], [7, 2, 62], [10, 2, 70],
     [13, 2, 78], [17, 2, 86], [21, 2, 94], [26, 2, 102], [32, 2, 110], [39, 1, 119], [43, 1, 125], [48, 1, 134],
     [52, 1, 141], [58, 1, 151], [62, 1, 157], [66, 1, 167], [70, 1, 173], [73, 1, 184], [77, 1, 189], [82, 1, 197],
     [85, 1, 206], [86, 1, 213], [90, 1, 221], [91, 2, 230], [93, 2, 237], [95, 2, 245], [96, 2, 261], [98, 2, 277],
     [99, 2, 293], [102, 2, 310], [103, 2, 325], [105, 2, 333], [107, 2, 351], [108, 2, 357], [110, 2, 374],
     [111, 2, 381], [112, 2, 389], [114, 2, 397], [115, 2, 405], [116, 2, 413], [117, 2, 421], [118, 2, 429],
     [119, 2, 605], [120, 2, 613], [121, 2, 637], [122, 2, 654], [123, 2, 778], [124, 2, 801], [125, 2, 816],
     [126, 2, 822], [126, 2, 1300]],
    [[-20, -32, 0], [0, 0, 0], [2, 1, 41], [3, 2, 48], [4, 2, 70], [5, 2, 87], [5, 3, 93], [6, 3, 104], [8, 3, 109],
     [11, 3, 126], [13, 3, 133], [15, 3, 141], [17, 3, 150], [20, 3, 157], [23, 3, 164], [26, 3, 171], [30, 3, 179],
     [33, 3, 187], [36, 3, 195], [39, 3, 203], [41, 3, 211], [43, 3, 220], [45, 3, 227], [46, 3, 235], [48, 3, 243],
     [50, 3, 251], [52, 3, 259], [55, 3, 275], [56, 3, 284], [58, 3, 291], [59, 3, 301], [61, 3, 307], [62, 3, 315],
     [65, 3, 324], [66, 3, 332], [68, 3, 339], [71, 3, 347], [73, 3, 355], [75, 3, 363], [76, 3, 371], [78, 3, 379],
     [79, 3, 388], [81, 4, 411], [82, 4, 451], [84, 4, 491], [85, 4, 532], [87, 4, 549], [87, 5, 560], [88, 5, 576],
     [90, 5, 629], [91, 5, 684], [93, 5, 724], [94, 6, 760], [95, 6, 794], [96, 6, 801], [97, 6, 825], [98, 6, 850],
     [99, 6, 905], [100, 6, 940], [100, 6, 1290]],
    [[-38, -25, 0], [0, 0, 0], [2, 0, 74], [5, 0, 82], [7, 0, 90], [10, 0, 106], [17, 0, 115], [20, 0, 125],
     [28, 0, 139], [31, 0, 144], [35, 0, 149], [37, 0, 158], [40, 0, 163], [43, 0, 171], [44, 0, 179], [47, 0, 187],
     [49, 0, 195], [51, 0, 203], [55, 0, 211], [59, 0, 222], [65, 0, 228], [71, 0, 235], [75, 0, 243], [79, 0, 252],
     [83, 0, 259], [87, 0, 268], [90, 0, 275], [92, 0, 285], [95, 0, 291], [96, 0, 301], [98, 0, 307], [99, 0, 323],
     [101, 0, 331], [102, 0, 355], [103, 0, 380], [104, 0, 387], [106, 0, 412], [107, 0, 420], [108, 0, 428],
     [110, 0, 435], [111, 0, 444], [113, 0, 451], [114, 0, 459], [116, 0, 468], [117, 0, 476], [119, 0, 486],
     [120, 0, 492], [122, 0, 502], [124, 0, 508], [126, 0, 524], [128, 0, 532], [130, 0, 540], [131, 0, 555],
     [132, 0, 564], [133, 0, 572], [134, 0, 596], [135, 1, 611], [136, 1, 628], [137, 1, 644], [138, 1, 651],
     [139, 1, 661], [140, 1, 684], [141, 1, 692], [142, 1, 708], [143, 1, 723], [145, 1, 732], [146, 1, 748],
     [147, 1, 755], [148, 1, 771], [149, 1, 780], [150, 1, 787], [151, 1, 820], [152, 1, 828], [153, 1, 836],
     [154, 1, 852], [156, 1, 869], [157, 1, 892], [159, 1, 915], [160, 1, 940], [161, 1, 955], [162, 1, 963],
     [163, 1, 972], [164, 1, 988], [165, 1, 1019], [166, 1, 1044], [167, 1, 1384], [168, 1, 1433], [169, 1, 1527],
     [170, 1, 1624], [171, 1, 1719], [171, 1, 2010]],
    [[-40, -48, 0], [0, 0, 0], [1, 3, 12], [2, 3, 19], [3, 4, 33], [4, 4, 41], [5, 4, 47], [6, 4, 55], [9, 5, 60],
     [12, 5, 66], [14, 5, 75], [17, 5, 80], [21, 5, 88], [25, 5, 96], [28, 5, 105], [32, 5, 112], [37, 5, 121],
     [42, 5, 128], [47, 5, 137], [54, 5, 144], [61, 5, 152], [65, 5, 161], [71, 5, 169], [77, 5, 176], [80, 5, 185],
     [84, 6, 192], [86, 6, 202], [89, 6, 208], [91, 7, 224], [92, 7, 256], [93, 7, 264], [94, 7, 272], [96, 7, 282],
     [97, 7, 288], [99, 7, 297], [101, 7, 305], [102, 7, 313], [103, 7, 321], [104, 7, 328], [105, 7, 337],
     [106, 7, 361], [106, 8, 369], [106, 8, 816]],
    [[-31, -45, 0], [0, 0, 0], [3, 1, 89], [7, 1, 97], [10, 1, 107], [14, 1, 112], [17, 1, 119], [21, 3, 126],
     [23, 3, 135], [26, 3, 141], [29, 3, 151], [33, 3, 157], [35, 3, 167], [38, 3, 173], [40, 3, 182], [42, 3, 189],
     [45, 3, 198], [48, 3, 205], [51, 3, 214], [55, 3, 221], [59, 3, 230], [63, 3, 237], [67, 3, 245], [70, 3, 253],
     [73, 3, 262], [76, 3, 269], [79, 4, 277], [81, 5, 293], [82, 5, 301], [83, 5, 309], [84, 6, 317], [85, 6, 325],
     [86, 6, 334], [87, 6, 341], [88, 6, 349], [89, 6, 357], [90, 6, 389], [91, 6, 397], [92, 6, 405], [93, 6, 413],
     [95, 6, 421], [97, 6, 429], [98, 6, 438], [99, 6, 446], [101, 6, 453], [102, 6, 462], [103, 6, 469], [104, 6, 485],
     [105, 6, 517], [107, 6, 751], [108, 6, 768], [109, 6, 783], [110, 6, 791], [111, 6, 992], [112, 6, 1004],
     [113, 6, 1010], [111, 6, 1508], [110, 7, 1515], [108, 7, 1526], [107, 7, 1558], [107, 7, 1965]],
    [[-45, -47, 0], [0, 0, 0], [1, 0, 111], [2, 0, 120], [4, 1, 124], [6, 2, 133], [8, 2, 148], [10, 3, 155],
     [13, 3, 163], [15, 4, 171], [16, 4, 179], [19, 4, 187], [20, 4, 195], [23, 4, 203], [24, 4, 211], [25, 4, 219],
     [26, 4, 227], [28, 5, 235], [29, 6, 243], [30, 6, 251], [33, 7, 259], [34, 7, 275], [36, 7, 283], [37, 7, 291],
     [38, 8, 299], [39, 8, 306], [40, 8, 316], [42, 9, 322], [44, 9, 331], [46, 9, 339], [47, 9, 349], [50, 9, 355],
     [52, 9, 363], [53, 9, 371], [56, 10, 379], [57, 10, 387], [59, 10, 395], [60, 10, 403], [62, 10, 412],
     [65, 10, 419], [66, 10, 427], [67, 10, 435], [69, 10, 443], [70, 10, 451], [73, 10, 459], [74, 12, 467],
     [76, 12, 483], [77, 12, 507], [77, 12, 938]],
    [[-44, -29, 0], [0, 0, 0], [1, 0, 34], [2, 0, 43], [4, 0, 51], [7, 0, 60], [9, 0, 67], [11, 0, 76], [13, 0, 82],
     [15, 0, 87], [16, 0, 95], [18, 0, 108], [19, 0, 116], [21, 0, 123], [22, 0, 132], [24, 0, 139], [26, 0, 147],
     [28, 0, 155], [31, 0, 164], [33, 0, 171], [37, 0, 180], [40, 0, 187], [45, 0, 195], [52, 0, 205], [56, 0, 211],
     [60, 0, 221], [65, 0, 227], [68, 0, 235], [72, 0, 243], [74, 0, 251], [77, 0, 259], [80, 0, 267], [81, 0, 275],
     [84, 0, 284], [85, 0, 291], [87, 0, 299], [88, 0, 316], [89, 0, 331], [90, 0, 339], [91, 0, 355], [93, 0, 363],
     [95, 0, 380], [97, 2, 387], [99, 2, 403], [100, 2, 411], [101, 2, 421], [103, 2, 426], [103, 3, 437],
     [104, 3, 442], [105, 3, 451], [106, 3, 475], [107, 3, 499], [108, 3, 639], [109, 3, 675], [110, 3, 692],
     [111, 3, 701], [111, 3, 1035]],
    [[-40, -38, 0], [0, 0, 0], [0, 1, 53], [1, 1, 68], [2, 2, 81], [2, 3, 89], [3, 3, 97], [4, 3, 106], [5, 3, 114],
     [6, 4, 121], [8, 5, 130], [10, 5, 137], [11, 6, 145], [12, 6, 153], [14, 7, 160], [17, 7, 167], [18, 7, 175],
     [20, 7, 183], [22, 7, 192], [24, 7, 199], [27, 9, 208], [29, 9, 215], [32, 10, 225], [33, 10, 231], [35, 10, 239],
     [37, 10, 247], [39, 10, 255], [42, 10, 263], [43, 10, 271], [45, 10, 279], [48, 10, 287], [51, 10, 295],
     [55, 10, 304], [58, 10, 311], [62, 10, 319], [65, 10, 327], [69, 10, 335], [73, 10, 344], [75, 10, 351],
     [78, 10, 359], [80, 10, 367], [82, 10, 383], [83, 10, 391], [84, 10, 407], [85, 10, 415], [86, 10, 424],
     [87, 10, 447], [88, 10, 455], [89, 10, 463], [90, 10, 479], [92, 10, 487], [94, 11, 503], [96, 11, 511],
     [97, 12, 520], [98, 12, 527], [99, 12, 535], [101, 12, 875], [102, 12, 888], [102, 13, 907], [104, 13, 915],
     [104, 13, 1247]],
    [[-34, -28, 0], [0, 0, 0], [3, 0, 88], [6, 0, 96], [9, 0, 104], [11, 0, 112], [14, 0, 120], [17, 0, 128],
     [20, 0, 136], [22, 0, 144], [25, -1, 152], [30, -1, 160], [33, -1, 168], [36, -1, 177], [38, -1, 184],
     [40, -1, 193], [43, -1, 220], [45, -1, 223], [47, -1, 229], [48, -1, 242], [52, -1, 267], [53, -1, 273],
     [55, -1, 473], [62, -1, 476], [63, -1, 505], [65, -1, 529], [65, -1, 544], [67, -1, 568], [68, -1, 608],
     [69, -1, 657], [70, -1, 680], [70, -1, 1751]],
    [[-47, -40, 0], [0, 0, 0], [0, 1, 66], [2, 2, 75], [6, 3, 82], [8, 3, 90], [12, 4, 100], [17, 4, 107], [22, 5, 117],
     [29, 5, 123], [35, 6, 133], [40, 8, 141], [50, 8, 149], [59, 8, 161], [69, 8, 165], [78, 8, 169], [89, 8, 177],
     [99, 8, 184], [111, 8, 192], [120, 8, 201], [130, 8, 209], [138, 8, 214], [143, 8, 223], [147, 8, 231],
     [151, 8, 241], [154, 8, 247], [155, 9, 352], [156, 9, 375], [157, 9, 392], [158, 9, 407], [159, 9, 415],
     [160, 9, 431], [161, 10, 440], [162, 10, 457], [163, 10, 488], [163, 11, 500], [165, 11, 516], [166, 11, 529],
     [168, 11, 554], [169, 11, 578], [169, 12, 602], [171, 12, 618], [171, 13, 626], [171, 13, 1015]],
    [[-30, -49, 0], [0, 0, 0], [1, 1, 47], [6, 1, 60], [14, 0, 67], [18, 0, 79], [21, 0, 84], [23, 0, 88], [27, 0, 93],
     [31, 0, 101], [35, 0, 109], [38, 0, 117], [42, 0, 126], [45, 0, 133], [48, 0, 141], [50, 0, 149], [53, 0, 159],
     [56, 0, 165], [57, 0, 181], [59, 0, 189], [60, 0, 197], [62, 0, 205], [63, 0, 213], [64, 0, 221], [65, 0, 229],
     [65, 0, 238], [66, 0, 270], [67, 0, 277], [68, 0, 286], [70, 0, 293], [71, 0, 302], [72, 0, 318], [73, 0, 466],
     [74, 0, 482], [75, 0, 490], [76, 0, 497], [77, 0, 506], [78, 0, 510], [80, 0, 517], [81, 0, 526], [83, 0, 533],
     [84, 0, 542], [85, 0, 550], [86, 0, 559], [87, 0, 565], [89, 0, 573], [90, 0, 581], [91, 0, 590], [92, 0, 606],
     [94, 1, 614], [96, 2, 645], [97, 2, 699], [98, 2, 739], [99, 2, 763], [100, 2, 770], [100, 2, 1101]],
    [[-52, -47, 0], [0, 0, 0], [-1, 0, 58], [-1, 1, 80], [0, 1, 88], [1, 1, 98], [3, 2, 105], [5, 2, 121], [6, 2, 128],
     [7, 2, 145], [9, 2, 154], [10, 2, 161], [12, 2, 167], [14, 2, 175], [16, 2, 181], [19, 2, 189], [20, 2, 197],
     [23, 2, 205], [24, 2, 213], [28, 2, 221], [31, 2, 229], [34, 2, 237], [37, 2, 245], [41, 2, 253], [43, 2, 260],
     [46, 2, 268], [49, 2, 276], [52, 2, 284], [55, 2, 292], [57, 2, 300], [60, 2, 308], [63, 2, 317], [65, 2, 325],
     [66, 2, 332], [67, 2, 349], [69, 2, 364], [70, 2, 381], [72, 2, 397], [73, 2, 412], [75, 2, 420], [76, 2, 436],
     [78, 2, 444], [79, 2, 460], [82, 2, 468], [83, 2, 484], [85, 2, 492], [86, 2, 516], [87, 2, 525], [88, 2, 542],
     [89, 2, 652], [90, 2, 693], [91, 2, 709], [92, 2, 741], [93, 2, 757], [94, 2, 775], [95, 2, 831], [96, 2, 989],
     [97, 2, 1004], [98, 2, 1014], [99, 2, 1030], [99, 2, 1459]],
    [[-43, -28, 0], [0, 0, 0], [1, 0, 27], [4, 0, 35], [6, 0, 42], [9, 0, 51], [13, 0, 59], [16, 0, 67], [19, 0, 75],
     [25, 0, 83], [33, 0, 90], [40, 0, 99], [49, 0, 106], [56, 0, 114], [64, 0, 122], [69, 0, 130], [77, 0, 138],
     [84, 0, 146], [92, 0, 155], [96, 0, 163], [100, 0, 170], [103, 0, 179], [106, 0, 187], [109, 0, 195],
     [112, 0, 202], [113, 0, 210], [116, 0, 219], [119, 0, 226], [120, 0, 234], [122, 0, 243], [124, 0, 251],
     [125, 0, 258], [127, 0, 274], [129, 0, 284], [130, 0, 300], [131, 0, 307], [132, 0, 316], [133, 0, 323],
     [134, 0, 330], [135, 0, 338], [136, 0, 354], [137, 0, 362], [138, 0, 378], [139, 0, 402], [140, 0, 410],
     [141, 0, 418], [142, 0, 427], [143, 0, 435], [144, 1, 451], [145, 1, 467], [147, 2, 474], [148, 3, 515],
     [149, 3, 650], [150, 3, 667], [151, 3, 683], [152, 3, 690], [153, 3, 700], [154, 3, 723], [155, 3, 738],
     [155, 3, 1169]],
    [[-47, -36, 0], [0, 0, 0], [0, 2, 51], [1, 3, 63], [3, 3, 71], [5, 4, 79], [7, 4, 87], [8, 4, 95], [12, 6, 103],
     [14, 7, 111], [17, 7, 119], [21, 8, 128], [24, 8, 135], [28, 11, 144], [35, 12, 151], [40, 13, 159], [45, 15, 167],
     [51, 16, 175], [58, 16, 183], [62, 17, 191], [66, 17, 199], [71, 17, 207], [77, 19, 215], [79, 19, 223],
     [80, 19, 233], [82, 19, 239], [83, 19, 249], [85, 20, 255], [86, 20, 272], [88, 20, 279], [89, 20, 296],
     [91, 20, 303], [92, 20, 311], [93, 20, 319], [95, 20, 328], [96, 20, 335], [98, 21, 344], [99, 21, 351],
     [101, 21, 359], [102, 21, 367], [103, 21, 384], [104, 21, 391], [105, 21, 399], [106, 21, 416], [108, 22, 423],
     [110, 23, 463], [111, 23, 471], [111, 24, 479], [113, 24, 488], [114, 24, 503], [116, 24, 576], [116, 24, 991]],
    [[-47, -44, 0], [0, 0, 0], [1, 0, 57], [3, 0, 65], [6, 0, 73], [10, 0, 81], [14, 0, 89], [18, -1, 97],
     [22, -1, 105], [27, -2, 113], [30, -2, 121], [34, -3, 130], [39, -3, 137], [43, -3, 145], [46, -5, 153],
     [51, -5, 161], [54, -5, 170], [57, -5, 177], [59, -6, 186], [62, -6, 193], [63, -6, 203], [65, -7, 209],
     [67, -7, 219], [69, -7, 225], [70, -7, 233], [71, -7, 242], [73, -8, 249], [75, -8, 273], [76, -8, 298],
     [78, -8, 321], [79, -8, 345], [81, -8, 361], [82, -8, 369], [84, -8, 377], [85, -8, 387], [87, -8, 393],
     [89, -8, 403], [91, -8, 417], [92, -8, 425], [94, -8, 441], [95, -8, 449], [97, -8, 465], [98, -8, 473],
     [99, -8, 481], [100, -8, 489], [102, -8, 497], [105, -8, 505], [107, -8, 512], [108, -8, 521], [111, -7, 529],
     [113, -7, 537], [115, -7, 546], [117, -7, 561], [117, -6, 577], [118, -6, 585], [119, -6, 609], [120, -6, 619],
     [121, -6, 625], [122, -6, 650], [123, -6, 734], [123, -6, 1120]],
    [[-43, -29, 0], [0, 0, 0], [0, -1, 61], [0, -2, 69], [2, -2, 101], [4, -2, 117], [5, -2, 125], [8, -2, 133],
     [11, -2, 141], [14, -2, 151], [17, -2, 157], [20, -2, 166], [25, -2, 173], [28, -2, 183], [33, -2, 190],
     [36, -2, 201], [43, -2, 205], [48, -2, 214], [53, -2, 221], [59, -2, 229], [65, -2, 237], [68, -2, 246],
     [71, -2, 253], [74, -2, 261], [77, -2, 269], [78, -2, 277], [79, -2, 287], [80, -2, 293], [81, -2, 303],
     [82, -2, 310], [83, -2, 317], [84, -2, 334], [85, -2, 341], [86, -2, 350], [87, -2, 358], [88, -2, 373],
     [89, -2, 382], [91, -1, 413], [92, -1, 429], [93, -1, 437], [95, 0, 445], [96, 0, 461], [97, 0, 477], [98, 0, 485],
     [98, 1, 494], [96, 1, 835], [95, 1, 850], [93, 1, 890], [92, 1, 1061], [92, 1, 1404]],
    [[-47, -32, 0], [0, 0, 0], [1, 0, 82], [3, 0, 97], [5, 0, 106], [8, 1, 117], [11, 1, 121], [14, 2, 125],
     [16, 2, 133], [20, 2, 140], [24, 2, 148], [27, 2, 155], [31, 2, 164], [34, 2, 172], [37, 3, 179], [39, 3, 186],
     [42, 5, 195], [45, 5, 202], [48, 5, 211], [51, 5, 219], [53, 5, 227], [55, 6, 234], [58, 6, 243], [60, 7, 251],
     [61, 7, 259], [64, 7, 267], [65, 8, 275], [65, 8, 284], [66, 8, 291], [69, 8, 301], [70, 8, 315], [72, 9, 323],
     [73, 9, 355], [75, 9, 387], [76, 10, 412], [77, 10, 444], [78, 10, 451], [78, 10, 882]],
    [[-28, -31, 0], [0, 0, 0], [0, -1, 101], [1, -1, 107], [2, -1, 115], [4, -1, 122], [4, 0, 128], [6, 0, 137],
     [8, 1, 144], [11, 2, 152], [13, 3, 160], [15, 4, 168], [18, 7, 176], [19, 7, 184], [21, 7, 192], [23, 9, 200],
     [25, 9, 208], [29, 10, 216], [32, 11, 224], [34, 11, 233], [38, 12, 240], [41, 12, 249], [44, 12, 256],
     [48, 13, 265], [51, 13, 272], [55, 13, 281], [57, 13, 288], [61, 13, 297], [64, 13, 305], [66, 13, 313],
     [67, 13, 321], [69, 13, 328], [71, 13, 337], [73, 13, 344], [74, 13, 359], [75, 13, 370], [76, 13, 375],
     [77, 13, 384], [78, 13, 392], [79, 13, 399], [80, 13, 408], [81, 14, 415], [82, 14, 432], [83, 14, 440],
     [84, 14, 448], [86, 15, 457], [88, 15, 472], [90, 15, 480], [91, 15, 489], [93, 15, 505], [95, 15, 512],
     [96, 15, 520], [98, 15, 528], [100, 16, 537], [102, 16, 544], [103, 16, 560], [106, 17, 568], [107, 17, 584],
     [109, 17, 592], [111, 17, 616], [112, 17, 632], [114, 18, 656], [115, 18, 697], [117, 18, 720], [118, 18, 744],
     [119, 18, 768], [120, 19, 777], [121, 19, 809], [122, 19, 833], [123, 19, 872], [124, 21, 888], [125, 21, 920],
     [126, 21, 938], [127, 21, 943], [128, 21, 990], [129, 21, 1013], [130, 21, 1076], [131, 21, 1099], [132, 21, 1113],
     [132, 21, 1607]],
    [[-43, -26, 0], [0, 0, 0], [2, 0, 87], [5, 0, 94], [7, 0, 102], [10, 0, 110], [14, 0, 119], [19, 0, 126],
     [23, 0, 133], [31, 0, 141], [37, 0, 149], [45, 0, 157], [53, 0, 165], [61, 0, 173], [70, 0, 181], [78, 0, 189],
     [85, 0, 197], [90, 0, 204], [95, 0, 213], [101, 0, 222], [105, 0, 229], [108, 0, 238], [111, 0, 245],
     [112, 0, 255], [113, 0, 261], [114, 0, 270], [115, 0, 287], [116, 0, 341], [117, 0, 357], [118, 0, 373],
     [119, 0, 397], [120, 0, 405], [123, 0, 414], [124, 0, 429], [126, 0, 438], [127, 0, 445], [129, 0, 453],
     [130, 0, 461], [131, 0, 471], [132, 0, 477], [133, 0, 485], [134, 0, 582], [135, 0, 606], [136, 0, 622],
     [137, 0, 646], [138, 0, 657], [138, 0, 1125]],
    [[-32, -28, 0], [0, 0, 0], [0, -1, 99], [2, -1, 115], [5, -1, 128], [14, -1, 135], [21, -1, 146], [26, -1, 152],
     [33, -1, 160], [41, -1, 164], [50, -1, 170], [57, -1, 177], [65, -1, 185], [72, -1, 192], [80, -1, 201],
     [87, -1, 209], [93, -1, 217], [99, -1, 225], [104, -1, 233], [107, -1, 241], [110, -1, 249], [112, -1, 256],
     [114, -1, 265], [115, -1, 281], [117, -1, 318], [118, -1, 374], [119, -1, 453], [120, -1, 465], [121, -1, 472],
     [122, -1, 485], [123, -1, 496], [124, -1, 504], [125, -1, 516], [126, -1, 523], [127, -1, 538], [128, -1, 544],
     [129, -1, 561], [130, -1, 577], [131, -1, 691], [132, -1, 718], [133, 0, 739], [134, 1, 755], [135, 1, 763],
     [136, 1, 779], [137, 2, 930], [138, 2, 1039], [138, 2, 1320]],
    [[-46, -42, 0], [0, 0, 0], [1, 1, 64], [2, 1, 80], [3, 1, 88], [5, 1, 97], [7, 1, 104], [9, 1, 112], [12, 1, 120],
     [18, 1, 147], [29, 1, 151], [37, 1, 156], [45, 1, 164], [55, 1, 171], [64, 1, 177], [72, 1, 184], [80, 1, 192],
     [88, 1, 200], [95, 1, 209], [99, 1, 216], [103, 1, 225], [105, 1, 233], [108, 2, 241], [109, 2, 248],
     [110, 2, 256], [111, 3, 265], [112, 3, 281], [113, 3, 296], [114, 3, 313], [116, 4, 321], [118, 4, 336],
     [119, 4, 344], [121, 4, 353], [123, 4, 360], [124, 4, 368], [125, 4, 376], [128, 6, 385], [129, 6, 400],
     [132, 7, 409], [133, 7, 425], [134, 7, 440], [136, 7, 448], [137, 7, 600], [138, 7, 624], [139, 7, 643],
     [140, 7, 648], [142, 7, 659], [144, 7, 672], [145, 7, 680], [146, 7, 705], [147, 7, 721], [147, 7, 1104]],
    [[-31, -23, 0], [0, 0, 0], [1, 1, 30], [3, 2, 51], [7, 4, 57], [13, 6, 64], [20, 9, 74], [28, 10, 81], [40, 12, 88],
     [52, 15, 91], [65, 16, 98], [81, 17, 105], [97, 17, 113], [117, 17, 121], [133, 17, 131], [152, 17, 139],
     [167, 17, 145], [178, 17, 154], [189, 17, 161], [199, 17, 170], [203, 17, 177], [207, 17, 188], [210, 17, 194],
     [212, 17, 202], [211, 17, 457], [209, 17, 468], [208, 17, 480], [205, 17, 490], [204, 17, 502], [200, 16, 507],
     [198, 15, 522], [197, 15, 540], [195, 15, 547], [195, 15, 562], [193, 15, 577], [192, 15, 594], [191, 15, 610],
     [190, 14, 618], [188, 13, 634], [187, 12, 657], [186, 12, 665], [184, 12, 682], [183, 11, 689], [182, 11, 697],
     [180, 11, 705], [179, 11, 713], [176, 9, 721], [175, 9, 738], [174, 9, 745], [173, 9, 755], [171, 8, 966],
     [170, 8, 985], [169, 8, 999], [168, 8, 1007], [167, 8, 1015], [166, 8, 1026], [165, 8, 1042], [165, 8, 1408]],
    [[-41, -39, 0], [0, 0, 0], [14, 0, 8], [19, 0, 15], [27, 0, 23], [34, 2, 31], [42, 2, 38], [48, 2, 47], [56, 2, 54],
     [63, 2, 63], [67, 2, 70], [75, 3, 79], [79, 3, 86], [84, 4, 95], [87, 5, 102], [89, 5, 111], [91, 5, 118],
     [93, 6, 126], [94, 6, 134], [95, 6, 151], [96, 6, 168], [97, 6, 174], [98, 6, 199], [100, 6, 206], [101, 6, 223],
     [102, 6, 231], [103, 6, 240], [104, 6, 247], [105, 6, 254], [106, 6, 263], [106, 6, 645]],
    [[-41, -32, 0], [0, 0, 0], [1, 0, 97], [3, 0, 243], [54, -2, 249], [55, -2, 262], [56, -2, 278], [57, -2, 309],
     [58, -2, 326], [59, -2, 341], [60, -2, 348], [61, -2, 357], [62, -2, 364], [63, -2, 373], [64, -2, 381],
     [65, -2, 397], [66, -2, 454], [67, -2, 464], [68, -2, 480], [70, -1, 496], [71, -1, 511], [72, -1, 517],
     [72, 0, 786], [71, 0, 795], [69, 0, 808], [68, 0, 821], [67, 1, 838], [66, 1, 845], [65, 1, 855], [64, 1, 869],
     [63, 1, 894], [62, 1, 917], [61, 1, 925], [60, 1, 941], [59, 1, 965], [58, 1, 973], [58, 1, 1371]],
    [[-41, -31, 0], [0, 0, 0], [2, 1, 36], [3, 1, 44], [6, 1, 52], [7, 2, 60], [11, 2, 67], [16, 3, 76], [19, 3, 84],
     [23, 4, 92], [27, 4, 99], [31, 4, 109], [37, 4, 115], [41, 4, 125], [49, 4, 131], [53, 4, 143], [58, 4, 150],
     [62, 4, 156], [65, 4, 163], [71, 4, 172], [74, 4, 179], [77, 4, 187], [80, 4, 195], [81, 4, 203], [84, 4, 211],
     [85, 4, 219], [87, 5, 235], [88, 5, 251], [89, 5, 268], [90, 5, 275], [91, 5, 283], [92, 5, 291], [92, 6, 299],
     [94, 6, 308], [95, 6, 331], [96, 6, 341], [97, 7, 347], [98, 7, 371], [99, 7, 379], [100, 8, 387], [102, 8, 411],
     [103, 9, 451], [105, 9, 500], [106, 9, 524], [106, 10, 548], [108, 10, 579], [109, 11, 611], [111, 12, 636],
     [112, 12, 660], [113, 12, 684], [114, 12, 699], [115, 13, 708], [115, 13, 1027]],
    [[-20, -36, 0], [0, 0, 0], [1, 0, 9], [2, 0, 32], [4, 0, 48], [6, 0, 59], [9, 0, 64], [11, 1, 72], [15, 1, 78],
     [17, 2, 87], [21, 2, 94], [24, 2, 103], [28, 4, 110], [31, 4, 119], [34, 4, 126], [38, 4, 134], [42, 4, 142],
     [45, 4, 151], [49, 4, 158], [53, 5, 166], [57, 5, 174], [60, 5, 182], [63, 5, 190], [66, 5, 199], [69, 5, 206],
     [71, 5, 214], [73, 5, 223], [77, 5, 230], [80, 5, 240], [82, 5, 246], [85, 5, 256], [89, 5, 262], [91, 5, 272],
     [94, 5, 278], [96, 5, 286], [97, 5, 293], [99, 5, 302], [100, 5, 310], [101, 5, 326], [102, 5, 334], [103, 5, 342],
     [104, 5, 367], [105, 5, 374], [106, 5, 390], [107, 5, 447], [108, 5, 463], [109, 5, 495], [110, 5, 503],
     [111, 5, 510], [113, 6, 534], [114, 6, 558], [115, 6, 598], [116, 6, 630], [117, 6, 654], [118, 6, 750],
     [118, 6, 1053]],
    [[-41, -39, 0], [0, 0, 0], [1, 0, 71], [5, 2, 79], [10, 3, 87], [15, 3, 94], [18, 4, 102], [22, 4, 111],
     [25, 4, 118], [28, 5, 126], [33, 6, 134], [37, 6, 143], [40, 7, 150], [43, 7, 158], [46, 7, 166], [47, 7, 174],
     [49, 7, 182], [50, 7, 190], [51, 9, 197], [53, 9, 222], [54, 9, 248], [56, 9, 351], [57, 9, 385], [58, 10, 407],
     [59, 10, 415], [60, 11, 560], [61, 11, 592], [62, 11, 599], [63, 12, 608], [65, 12, 616], [65, 12, 639],
     [66, 13, 663], [67, 13, 711], [67, 13, 1046]],
    [[-19, -22, 0], [0, 0, 0], [1, 0, 6], [2, 0, 15], [3, 0, 22], [4, 0, 31], [7, 0, 39], [9, 0, 47], [11, 0, 55],
     [15, 0, 63], [18, 0, 74], [20, 0, 79], [24, 1, 87], [28, 1, 95], [34, 2, 103], [38, 3, 111], [45, 3, 118],
     [50, 5, 126], [54, 5, 136], [59, 6, 143], [64, 7, 151], [68, 8, 158], [71, 8, 167], [75, 8, 175], [80, 9, 182],
     [83, 10, 191], [87, 10, 199], [90, 11, 206], [92, 11, 215], [95, 11, 223], [98, 12, 231], [101, 12, 238],
     [103, 12, 246], [106, 12, 255], [107, 12, 263], [109, 13, 270], [110, 13, 279], [111, 13, 287], [113, 13, 295],
     [115, 13, 310], [116, 13, 318], [119, 14, 328], [120, 14, 343], [122, 14, 350], [123, 14, 367], [124, 14, 375],
     [125, 14, 382], [126, 14, 422], [127, 14, 439], [128, 14, 503], [129, 15, 518], [130, 15, 542], [131, 15, 558],
     [132, 16, 566], [133, 17, 621], [134, 17, 934], [135, 17, 942], [136, 17, 950], [137, 17, 966], [138, 17, 974],
     [138, 18, 998], [138, 18, 1367]],
    [[-24, -38, 0], [0, 0, 0], [3, 0, 47], [6, 0, 56], [8, 0, 64], [11, 0, 72], [15, 0, 79], [18, 0, 88], [21, 0, 95],
     [22, 0, 104], [26, 0, 111], [29, 0, 120], [34, 2, 127], [39, 2, 136], [43, 2, 143], [48, 2, 152], [55, 2, 159],
     [61, 2, 168], [65, 2, 176], [68, 4, 184], [73, 5, 191], [77, 5, 200], [79, 5, 209], [81, 5, 216], [84, 5, 224],
     [87, 5, 232], [88, 5, 240], [89, 5, 256], [90, 5, 263], [91, 5, 280], [92, 6, 312], [93, 6, 320], [94, 6, 336],
     [95, 6, 343], [96, 6, 352], [97, 6, 368], [98, 7, 376], [99, 7, 384], [100, 7, 391], [102, 7, 400], [103, 8, 409],
     [104, 8, 415], [105, 8, 424], [106, 8, 432], [107, 8, 448], [109, 8, 456], [110, 8, 481], [111, 8, 489],
     [112, 8, 497], [113, 8, 505], [114, 8, 513], [115, 8, 521], [116, 8, 529], [117, 8, 536], [118, 8, 545],
     [118, 8, 984]],
    [[-43, -7, 0], [0, 0, 0], [-1, -1, 7], [-1, -2, 22], [0, -3, 38], [1, -3, 51], [2, -3, 53], [4, -3, 68],
     [5, -3, 77], [7, -3, 84], [8, -3, 91], [11, -3, 99], [13, -3, 107], [16, -3, 115], [18, -2, 122], [22, -2, 131],
     [25, 0, 138], [31, 0, 147], [34, 0, 155], [37, 0, 163], [41, 1, 171], [45, 1, 179], [48, 2, 188], [53, 4, 195],
     [56, 4, 203], [59, 4, 211], [60, 5, 219], [62, 5, 227], [63, 5, 235], [65, 5, 243], [66, 5, 251], [67, 5, 259],
     [69, 5, 267], [70, 5, 275], [71, 5, 283], [72, 5, 291], [74, 5, 307], [75, 5, 315], [77, 6, 331], [78, 6, 355],
     [79, 6, 371], [80, 6, 395], [81, 6, 499], [81, 7, 563], [83, 7, 571], [84, 7, 579], [85, 7, 587], [87, 7, 595],
     [88, 7, 603], [89, 7, 619], [90, 8, 627], [91, 8, 995], [92, 8, 1003], [93, 8, 1019], [94, 9, 1036],
     [94, 9, 1371]],
    [[-38, -12, 0], [0, 0, 0], [1, 0, 36], [2, 0, 43], [4, 0, 51], [6, 0, 59], [10, 0, 67], [12, 0, 75], [15, -1, 83],
     [17, -1, 91], [21, -1, 99], [25, -1, 108], [30, -1, 115], [32, -1, 124], [36, -1, 131], [42, -1, 139],
     [45, -1, 147], [48, -1, 156], [50, -1, 163], [52, -1, 172], [53, -1, 179], [56, -1, 188], [57, -1, 195],
     [59, -1, 204], [61, -2, 221], [64, -2, 228], [65, -2, 235], [66, -2, 244], [68, -2, 252], [69, -2, 259],
     [71, -2, 268], [72, -2, 275], [74, -2, 283], [75, -2, 291], [78, -2, 300], [80, -2, 307], [82, -2, 315],
     [83, -2, 323], [86, -2, 332], [88, -2, 340], [89, -2, 347], [90, -2, 356], [92, -2, 364], [93, -2, 372],
     [95, -2, 379], [96, -2, 395], [98, -4, 404], [100, -4, 420], [101, -4, 427], [102, -4, 444], [103, -4, 452],
     [104, -4, 459], [105, -4, 484], [107, -4, 507], [108, -4, 523], [110, -4, 531], [111, -4, 547], [113, -4, 571],
     [114, -4, 596], [116, -4, 827], [117, -4, 851], [119, -4, 875], [119, -4, 1178]],
    [[-33, -45, 0], [0, 0, 0], [1, 1, 42], [4, 1, 58], [7, 1, 65], [11, 1, 74], [14, 1, 82], [17, 1, 90], [20, 1, 97],
     [23, 1, 106], [26, 2, 114], [29, 2, 122], [31, 3, 130], [35, 3, 138], [38, 3, 145], [41, 3, 154], [45, 3, 162],
     [50, 3, 170], [54, 3, 178], [58, 3, 186], [61, 3, 194], [65, 3, 202], [66, 3, 210], [69, 3, 217], [72, 3, 225],
     [75, 3, 233], [77, 3, 241], [79, 3, 249], [80, 3, 257], [82, 3, 266], [84, 3, 274], [85, 3, 283], [86, 3, 289],
     [87, 3, 298], [89, 3, 305], [90, 3, 322], [92, 3, 329], [94, 3, 346], [96, 3, 354], [98, 3, 362], [99, 3, 370],
     [102, 3, 377], [103, 3, 386], [105, 3, 393], [107, 3, 401], [109, 3, 409], [110, 3, 418], [112, 3, 426],
     [114, 3, 434], [116, 3, 441], [119, 3, 450], [120, 3, 458], [121, 3, 466], [122, 3, 474], [124, 3, 482],
     [126, 3, 490], [128, 3, 505], [129, 3, 513], [130, 3, 521], [132, 3, 530], [133, 3, 537], [134, 3, 546],
     [135, 3, 553], [136, 3, 562], [137, 3, 569], [138, 3, 578], [139, 3, 601], [141, 3, 635], [141, 4, 643],
     [142, 4, 651], [144, 4, 675], [145, 4, 691], [147, 4, 707], [149, 4, 715], [150, 4, 722], [151, 4, 731],
     [152, 4, 738], [153, 4, 747], [154, 4, 755], [155, 4, 763], [156, 4, 772], [157, 4, 794], [158, 4, 801],
     [159, 4, 810], [160, 4, 826], [161, 4, 833], [162, 4, 851], [162, 4, 1330]],
    [[-35, -20, 0], [0, 0, 0], [0, -1, 46], [1, -1, 55], [3, -1, 62], [6, -1, 73], [10, -1, 77], [14, -1, 86],
     [19, -1, 94], [23, -1, 102], [29, -1, 110], [38, -1, 117], [45, -1, 126], [55, 1, 134], [64, 1, 142], [70, 2, 150],
     [78, 3, 158], [83, 3, 166], [89, 4, 174], [93, 4, 182], [99, 6, 190], [101, 6, 198], [103, 7, 206], [105, 7, 215],
     [106, 8, 222], [107, 8, 246], [106, 8, 495], [104, 8, 501], [102, 8, 510], [101, 8, 518], [99, 8, 526],
     [97, 8, 534], [95, 8, 542], [94, 8, 566], [92, 8, 789], [91, 8, 797], [89, 8, 813], [88, 8, 828], [87, 8, 852],
     [87, 8, 1204]],
    [[-25, -20, 0], [0, 0, 0], [1, 0, 55], [5, 0, 63], [8, -1, 72], [9, -1, 79], [13, -3, 88], [15, -3, 95],
     [17, -3, 103], [20, -3, 111], [22, -3, 119], [24, -3, 127], [26, -3, 135], [27, -3, 143], [30, -3, 152],
     [33, -3, 159], [35, -3, 168], [38, -3, 176], [40, -3, 183], [42, -3, 191], [44, -3, 199], [45, -3, 208],
     [47, -3, 215], [49, -3, 224], [51, -3, 232], [54, -3, 240], [55, -3, 247], [57, -3, 255], [59, -3, 264],
     [62, -3, 272], [63, -3, 279], [64, -3, 288], [65, -3, 295], [65, -3, 303], [67, -3, 311], [68, -3, 319],
     [70, -3, 327], [72, -3, 336], [74, -3, 344], [77, -3, 359], [78, -3, 367], [80, -3, 376], [81, -3, 384],
     [83, -3, 391], [84, -3, 399], [85, -2, 407], [86, -2, 415], [87, -2, 431], [88, -2, 591], [89, -2, 599],
     [90, -2, 607], [91, -2, 623], [92, -2, 639], [93, -2, 655], [94, -2, 663], [95, -2, 679], [96, -2, 1184],
     [98, -2, 1208], [99, -2, 1498], [99, -2, 1696]],
    [[-35, -48, 0], [0, 0, 0], [0, 0, 10], [4, 1, 36], [7, 1, 38], [10, 2, 46], [14, 5, 54], [16, 5, 62], [21, 6, 70],
     [24, 6, 78], [28, 7, 86], [34, 9, 94], [41, 10, 101], [47, 11, 110], [56, 11, 117], [64, 14, 127], [70, 14, 134],
     [78, 15, 142], [87, 16, 150], [98, 17, 158], [106, 19, 166], [114, 20, 174], [123, 21, 182], [128, 22, 190],
     [134, 23, 198], [137, 24, 206], [143, 25, 215], [144, 25, 223], [146, 25, 230], [148, 25, 239], [149, 26, 246],
     [152, 26, 254], [154, 26, 270], [155, 26, 278], [157, 26, 295], [159, 27, 302], [159, 28, 310], [161, 28, 326],
     [162, 28, 334], [165, 28, 342], [168, 29, 351], [170, 29, 358], [172, 30, 367], [173, 30, 374], [176, 30, 382],
     [177, 30, 390], [178, 30, 399], [179, 31, 407], [181, 32, 430], [182, 32, 446], [183, 32, 470], [182, 32, 872],
     [180, 32, 879], [179, 32, 895], [177, 32, 974], [177, 32, 1534]],
    [[-63, -49, 0], [0, 0, 0], [1, 1, 246], [5, 1, 252], [8, 1, 260], [12, 3, 272], [16, 4, 276], [22, 4, 284],
     [25, 5, 292], [30, 8, 301], [32, 8, 313], [35, 8, 317], [38, 8, 324], [39, 9, 333], [42, 10, 341], [46, 10, 349],
     [49, 10, 356], [51, 11, 366], [54, 11, 372], [57, 12, 380], [60, 12, 388], [62, 13, 396], [65, 13, 404],
     [67, 14, 412], [70, 14, 419], [72, 14, 429], [76, 15, 436], [81, 16, 444], [83, 16, 451], [86, 16, 461],
     [87, 16, 467], [89, 17, 476], [90, 17, 484], [91, 17, 491], [92, 17, 525], [93, 17, 531], [95, 17, 547],
     [97, 17, 557], [99, 17, 572], [100, 17, 579], [102, 17, 588], [103, 17, 612], [105, 17, 628], [106, 17, 644],
     [107, 17, 676], [109, 19, 693], [111, 19, 725], [112, 19, 741], [114, 19, 757], [115, 19, 773], [117, 19, 789],
     [118, 19, 797], [120, 19, 813], [121, 19, 822], [123, 19, 837], [124, 19, 845], [125, 19, 853], [126, 19, 861],
     [127, 19, 869], [129, 19, 877], [130, 19, 885], [131, 19, 892], [132, 19, 901], [133, 20, 909], [134, 20, 923],
     [135, 20, 931], [136, 20, 955], [137, 20, 963], [138, 20, 987], [140, 20, 1183], [142, 20, 1190], [143, 20, 1198],
     [145, 20, 1216], [146, 20, 1222], [148, 20, 1239], [149, 20, 1262], [150, 20, 1460], [151, 20, 1469],
     [152, 20, 1479], [153, 20, 1501], [154, 20, 1508], [155, 20, 1543], [155, 20, 1939]],
    [[-19, -28, 0], [0, 0, 0], [1, 0, 9], [2, 0, 16], [3, 0, 25], [7, 0, 32], [12, 0, 40], [16, 2, 48], [21, 3, 56],
     [27, 3, 64], [33, 4, 72], [39, 6, 80], [44, 6, 88], [51, 6, 96], [58, 7, 104], [63, 8, 113], [70, 8, 122],
     [76, 10, 128], [84, 11, 137], [92, 11, 145], [100, 11, 153], [106, 12, 161], [114, 13, 167], [122, 15, 174],
     [127, 15, 183], [133, 15, 191], [137, 15, 199], [143, 15, 207], [146, 15, 214], [149, 15, 223], [151, 15, 230],
     [154, 16, 239], [155, 16, 246], [158, 17, 255], [159, 17, 262], [161, 17, 270], [163, 18, 278], [164, 18, 287],
     [165, 18, 294], [167, 18, 303], [168, 18, 311], [170, 18, 319], [172, 19, 326], [174, 19, 343], [175, 19, 352],
     [176, 20, 359], [177, 20, 368], [176, 20, 623], [175, 20, 632], [174, 20, 638], [173, 20, 654], [172, 20, 662],
     [171, 20, 687], [170, 19, 694], [169, 19, 702], [168, 19, 734], [167, 19, 751], [166, 19, 759], [165, 19, 783],
     [164, 19, 790], [163, 19, 816], [163, 18, 879], [162, 18, 950], [161, 18, 959], [160, 18, 975], [159, 18, 1153],
     [158, 18, 1186], [158, 18, 1478]],
    [[-26, -38, 0], [0, 0, 0], [0, 0, 6], [2, 0, 57], [6, 0, 65], [10, 0, 73], [16, 0, 80], [24, 0, 89], [33, 0, 96],
     [40, 0, 105], [49, 0, 113], [59, 0, 121], [65, 0, 129], [72, 0, 137], [79, 2, 145], [82, 2, 153], [84, 2, 161],
     [87, 3, 169], [89, 3, 177], [90, 3, 193], [92, 3, 209], [93, 3, 225], [95, 3, 283], [96, 3, 322], [98, 3, 347],
     [98, 4, 362], [99, 4, 371], [100, 4, 387], [101, 4, 394], [102, 4, 404], [103, 5, 420], [104, 5, 427],
     [105, 6, 451], [107, 7, 474], [108, 7, 482], [109, 7, 491], [110, 7, 498], [112, 9, 514], [113, 9, 521],
     [115, 9, 545], [116, 9, 593], [116, 9, 929]],
    [[-37, -42, 0], [0, 0, 0], [1, 0, 39], [3, 0, 47], [5, 0, 55], [8, 0, 64], [11, 0, 71], [13, 0, 80], [17, 0, 87],
     [20, 0, 95], [24, 0, 103], [27, 0, 112], [30, 0, 119], [33, 1, 127], [36, 1, 135], [40, 3, 144], [43, 3, 151],
     [46, 3, 159], [49, 4, 168], [53, 4, 175], [55, 4, 184], [58, 4, 191], [59, 5, 199], [63, 7, 207], [64, 7, 215],
     [65, 7, 223], [67, 7, 231], [68, 7, 239], [69, 7, 247], [70, 7, 255], [71, 7, 263], [72, 7, 279], [73, 7, 287],
     [74, 7, 296], [74, 8, 303], [75, 8, 319], [76, 8, 327], [77, 8, 335], [78, 8, 343], [79, 8, 367], [80, 8, 391],
     [81, 8, 416], [82, 8, 432], [83, 8, 961], [84, 8, 994], [84, 9, 1017], [85, 10, 1025], [85, 10, 1319]],
    [[-35, -29, 0], [0, 0, 0], [1, 0, 36], [2, 0, 52], [3, 0, 68], [4, 0, 82], [6, 0, 90], [6, 1, 97], [8, 1, 105],
     [9, 1, 114], [10, 1, 121], [11, 1, 129], [14, 3, 136], [17, 4, 153], [19, 4, 168], [20, 4, 177], [21, 4, 186],
     [22, 5, 192], [24, 5, 202], [25, 6, 208], [26, 6, 218], [27, 7, 233], [29, 7, 248], [29, 8, 256], [30, 8, 264],
     [32, 8, 288], [33, 8, 313], [35, 9, 331], [36, 9, 360], [37, 10, 376], [38, 10, 392], [39, 10, 408], [40, 11, 416],
     [41, 11, 433], [42, 11, 448], [43, 12, 465], [44, 12, 472], [45, 13, 488], [46, 14, 520], [47, 14, 1010],
     [48, 14, 1017], [48, 15, 1033], [49, 16, 1057], [49, 16, 1351]],
    [[-47, -28, 0], [0, 0, 0], [1, 0, 55], [4, 0, 63], [6, 0, 71], [8, 0, 79], [11, 0, 87], [14, 0, 95], [17, 0, 104],
     [19, 0, 111], [23, 0, 119], [27, 0, 128], [31, 0, 135], [34, 0, 143], [38, 0, 151], [43, 0, 161], [48, 1, 167],
     [53, 2, 175], [57, 3, 183], [60, 3, 191], [65, 5, 199], [68, 5, 207], [73, 6, 216], [77, 6, 223], [81, 7, 231],
     [85, 7, 239], [88, 7, 248], [92, 9, 254], [93, 9, 263], [95, 10, 271], [96, 10, 279], [97, 10, 287], [98, 10, 295],
     [99, 10, 303], [100, 10, 311], [101, 10, 319], [102, 10, 335], [104, 10, 351], [105, 10, 367], [106, 10, 383],
     [108, 10, 392], [110, 11, 407], [112, 11, 415], [113, 12, 423], [114, 12, 431], [115, 12, 439], [117, 12, 447],
     [118, 12, 455], [120, 12, 462], [122, 12, 470], [125, 12, 478], [127, 12, 485], [128, 12, 494], [130, 12, 502],
     [131, 12, 510], [134, 12, 518], [135, 12, 526], [137, 12, 542], [138, 12, 549], [140, 13, 558], [141, 13, 566],
     [143, 13, 574], [145, 13, 582], [147, 13, 589], [148, 13, 597], [151, 13, 608], [152, 13, 616], [154, 14, 625],
     [155, 14, 633], [157, 14, 647], [158, 14, 752], [160, 14, 792], [161, 14, 815], [162, 14, 863], [163, 14, 902],
     [164, 14, 925], [166, 14, 1001], [167, 14, 1018], [166, 14, 1544], [165, 14, 1567], [165, 14, 1918]],
    [[-30, -31, 0], [0, 0, 0], [4, 0, 54], [6, 0, 64], [9, 0, 72], [11, 0, 81], [15, 0, 87], [19, 0, 96], [24, 1, 102],
     [27, 2, 113], [30, 2, 119], [33, 2, 125], [35, 3, 135], [39, 3, 142], [41, 3, 149], [45, 3, 158], [48, 3, 164],
     [52, 3, 173], [54, 3, 181], [58, 3, 189], [61, 3, 197], [64, 3, 205], [65, 3, 214], [66, 3, 221], [67, 3, 229],
     [69, 3, 236], [70, 3, 277], [71, 3, 293], [72, 3, 301], [73, 3, 405], [74, 3, 421], [75, 3, 429], [76, 3, 456],
     [78, 3, 502], [79, 3, 527], [79, 3, 1029]],
    [[-34, -33, 0], [0, 0, 0], [3, 0, 24], [6, 1, 32], [7, 1, 39], [11, 1, 50], [16, 3, 52], [19, 3, 67], [22, 3, 76],
     [25, 3, 83], [27, 3, 91], [30, 3, 99], [33, 3, 107], [37, 4, 115], [41, 4, 124], [46, 5, 132], [51, 7, 139],
     [54, 8, 147], [60, 8, 155], [67, 9, 163], [72, 9, 171], [79, 10, 179], [87, 10, 187], [93, 10, 195], [97, 10, 203],
     [101, 10, 212], [103, 10, 219], [104, 10, 228], [107, 11, 236], [109, 12, 251], [110, 12, 267], [111, 12, 278],
     [112, 12, 283], [113, 12, 291], [114, 12, 300], [116, 13, 307], [117, 13, 324], [118, 13, 340], [119, 13, 347],
     [120, 13, 363], [119, 13, 682], [118, 13, 690], [117, 13, 698], [116, 13, 706], [115, 13, 714], [114, 13, 737],
     [113, 13, 770], [113, 13, 1114]],
    [[-29, -33, 0], [0, 0, 0], [1, 0, 22], [3, -1, 28], [5, -1, 36], [8, -1, 43], [13, -2, 51], [20, -3, 58],
     [30, -4, 66], [42, -6, 74], [56, -7, 82], [66, -7, 90], [79, -7, 98], [92, -7, 106], [104, -7, 113],
     [116, -7, 121], [128, -7, 129], [139, -7, 138], [148, -7, 146], [158, -7, 154], [164, -7, 161], [168, -7, 170],
     [172, -7, 178], [175, -7, 186], [171, -7, 380], [167, -7, 388], [161, -7, 395], [157, -7, 407], [151, -7, 411],
     [148, -7, 418], [145, -7, 426], [143, -8, 435], [141, -8, 443], [140, -8, 450], [139, -8, 458], [138, -8, 474],
     [137, -8, 483], [136, -8, 499], [135, -8, 506], [133, -8, 514], [132, -8, 530], [131, -8, 540], [130, -8, 1357],
     [129, -8, 1379], [128, -8, 1395], [127, -8, 1418], [127, -8, 1778]],
    [[-50, -14, 0], [0, 0, 0], [0, -1, 78], [3, -1, 86], [5, -1, 94], [10, -1, 102], [13, -1, 110], [20, -1, 118],
     [25, 1, 126], [30, 2, 134], [34, 2, 142], [37, 2, 150], [42, 2, 158], [44, 3, 166], [48, 3, 174], [51, 3, 182],
     [55, 3, 190], [57, 3, 198], [59, 3, 206], [62, 5, 214], [64, 5, 222], [66, 5, 230], [70, 5, 238], [72, 5, 246],
     [75, 5, 254], [77, 5, 263], [79, 5, 270], [80, 5, 278], [81, 5, 286], [82, 5, 295], [83, 5, 302], [85, 5, 318],
     [86, 5, 327], [89, 5, 334], [90, 5, 343], [93, 5, 351], [95, 6, 359], [96, 6, 366], [98, 6, 375], [101, 7, 382],
     [102, 7, 391], [104, 7, 407], [106, 8, 414], [107, 8, 430], [109, 9, 438], [111, 10, 446], [112, 10, 455],
     [113, 10, 470], [115, 10, 496], [116, 10, 534], [116, 10, 895]],
    [[-28, -36, 0], [0, 0, 0], [1, 0, 24], [2, 1, 31], [3, 1, 41], [4, 2, 48], [7, 2, 57], [10, 3, 64], [14, 3, 72],
     [19, 4, 78], [24, 4, 86], [32, 4, 94], [38, 4, 102], [44, 4, 109], [53, 5, 117], [59, 5, 125], [66, 5, 133],
     [73, 5, 141], [80, 6, 149], [84, 6, 157], [89, 6, 166], [94, 6, 175], [97, 6, 183], [99, 8, 191], [101, 8, 198],
     [104, 8, 207], [105, 8, 214], [108, 8, 223], [110, 8, 230], [111, 9, 239], [112, 9, 247], [114, 10, 255],
     [115, 10, 262], [117, 10, 278], [119, 11, 286], [121, 12, 302], [122, 12, 310], [124, 12, 318], [126, 13, 326],
     [127, 13, 334], [128, 13, 342], [130, 15, 350], [131, 15, 359], [132, 15, 366], [134, 16, 375], [135, 16, 382],
     [138, 17, 392], [139, 17, 399], [142, 18, 406], [143, 19, 415], [145, 19, 423], [146, 19, 430], [147, 19, 438],
     [148, 19, 446], [149, 19, 462], [149, 20, 479], [151, 20, 559], [152, 21, 598], [153, 22, 738], [154, 22, 768],
     [155, 22, 783], [156, 22, 821], [157, 23, 837], [157, 23, 1222]],
    [[-48, -47, 0], [0, 0, 0], [1, 0, 61], [4, 0, 68], [6, 0, 76], [8, 0, 84], [12, 0, 93], [16, 0, 102], [21, 0, 109],
     [27, 0, 117], [31, 0, 125], [37, 0, 133], [41, 0, 140], [46, 0, 149], [52, 0, 156], [56, 0, 166], [60, 0, 173],
     [64, 0, 180], [67, 0, 188], [71, 0, 199], [74, 0, 204], [77, 0, 211], [79, 0, 219], [81, 0, 228], [82, 0, 235],
     [83, 0, 243], [84, 0, 259], [85, 0, 267], [86, 0, 299], [87, 0, 315], [88, 0, 348], [89, 0, 355], [91, 0, 372],
     [92, 0, 403], [93, 0, 428], [94, 0, 443], [95, 0, 466], [97, 0, 498], [98, 0, 578], [99, 0, 594], [100, 0, 645],
     [101, 0, 773], [102, 0, 783], [103, 1, 805], [103, 1, 1074]],
    [[-51, -32, 0], [0, 0, 0], [-1, -1, 7], [0, -1, 30], [2, -1, 38], [4, -2, 46], [7, -2, 54], [9, -2, 62],
     [11, -2, 70], [15, -2, 79], [18, -2, 87], [20, -2, 95], [24, -2, 102], [28, -1, 110], [35, 0, 118], [37, 0, 126],
     [43, 1, 134], [46, 1, 142], [49, 2, 150], [53, 2, 158], [56, 3, 166], [60, 3, 174], [61, 4, 182], [64, 4, 190],
     [66, 5, 198], [67, 6, 207], [69, 6, 215], [70, 6, 222], [73, 6, 231], [73, 7, 238], [74, 7, 246], [76, 7, 255],
     [78, 9, 262], [80, 9, 279], [81, 9, 286], [83, 9, 295], [84, 9, 302], [86, 10, 318], [88, 10, 327], [89, 10, 334],
     [90, 11, 342], [91, 11, 350], [92, 11, 359], [93, 11, 367], [94, 12, 398], [95, 12, 950], [96, 12, 958],
     [97, 12, 990], [97, 12, 1294]],
    [[-52, -33, 0], [0, 0, 0], [1, 0, 40], [2, 0, 48], [5, 0, 56], [7, 0, 65], [10, 0, 71], [12, 2, 78], [15, 2, 85],
     [19, 2, 94], [22, 3, 102], [26, 3, 110], [32, 3, 118], [35, 3, 125], [40, 3, 133], [45, 3, 141], [49, 3, 150],
     [54, 4, 157], [57, 4, 166], [62, 8, 173], [65, 8, 183], [67, 8, 190], [70, 8, 198], [72, 8, 205], [75, 8, 214],
     [76, 8, 221], [79, 8, 230], [81, 8, 238], [82, 8, 245], [85, 8, 254], [86, 8, 262], [88, 8, 270], [89, 8, 285],
     [91, 8, 302], [92, 8, 310], [94, 10, 326], [95, 10, 342], [98, 10, 350], [100, 11, 374], [101, 11, 382],
     [102, 12, 390], [103, 12, 397], [105, 12, 405], [106, 13, 414], [107, 13, 421], [108, 13, 430], [110, 14, 446],
     [111, 14, 454], [113, 14, 462], [114, 14, 478], [114, 15, 485], [115, 15, 494], [116, 15, 502], [117, 15, 517],
     [119, 16, 542], [120, 16, 622], [121, 16, 693], [122, 16, 734], [123, 16, 758], [124, 16, 822], [125, 16, 1062],
     [126, 17, 1125], [127, 17, 1190], [127, 17, 1541]],
    [[-31, -23, 0], [0, 0, 0], [1, 1, 8], [2, 2, 15], [4, 3, 20], [6, 3, 36], [8, 5, 44], [11, 6, 51], [12, 6, 60],
     [15, 6, 68], [18, 7, 75], [22, 9, 83], [26, 10, 91], [30, 10, 99], [33, 10, 107], [39, 10, 114], [44, 11, 123],
     [50, 11, 130], [55, 13, 139], [62, 14, 147], [67, 15, 154], [71, 15, 162], [75, 15, 171], [78, 16, 178],
     [79, 16, 187], [82, 16, 195], [84, 16, 202], [87, 16, 212], [89, 16, 227], [90, 16, 234], [92, 16, 250],
     [93, 16, 259], [95, 16, 275], [96, 16, 291], [98, 16, 307], [99, 16, 324], [100, 16, 354], [101, 16, 378],
     [100, 16, 658], [99, 16, 666], [98, 16, 675], [96, 16, 682], [95, 16, 698], [94, 16, 780], [93, 16, 819],
     [92, 16, 877], [92, 16, 1186]],
    [[-39, -40, 0], [0, 0, 0], [3, 1, 48], [6, 1, 55], [10, 3, 65], [14, 4, 71], [21, 4, 80], [27, 5, 88], [35, 5, 95],
     [41, 5, 101], [52, 5, 110], [63, 5, 117], [71, 5, 125], [82, 5, 133], [90, 5, 142], [96, 5, 149], [104, 5, 158],
     [110, 5, 166], [115, 5, 174], [119, 5, 186], [123, 5, 189], [126, 5, 197], [128, 5, 205], [130, 5, 214],
     [131, 5, 221], [132, 5, 230], [134, 5, 237], [134, 6, 246], [135, 6, 253], [135, 6, 645]],
    [[-21, -31, 0], [0, 0, 0], [1, 0, 25], [4, 0, 36], [5, 0, 43], [7, 0, 55], [11, 0, 60], [13, 0, 69], [16, 1, 76],
     [19, 1, 85], [20, 1, 90], [23, 1, 99], [25, 1, 106], [27, 1, 115], [30, 3, 122], [33, 3, 131], [36, 3, 138],
     [39, 3, 146], [42, 3, 154], [45, 3, 162], [48, 3, 170], [51, 3, 178], [53, 3, 186], [56, 3, 194], [58, 3, 210],
     [59, 3, 226], [60, 3, 250], [59, 4, 549], [57, 4, 580], [56, 4, 613], [54, 5, 653], [53, 6, 660], [52, 6, 692],
     [51, 6, 701], [50, 6, 717], [48, 6, 756], [48, 6, 1186]],
    [[-49, -20, 0], [0, 0, 0], [1, 0, 14], [4, 0, 22], [6, -1, 30], [9, -1, 38], [13, -1, 47], [17, -1, 54],
     [21, -1, 62], [26, -1, 70], [32, -1, 78], [40, -1, 86], [47, -1, 94], [55, -1, 102], [61, -1, 110], [68, -1, 118],
     [76, -1, 126], [83, -1, 134], [90, -1, 142], [97, -1, 150], [101, -1, 158], [105, -1, 166], [109, -1, 175],
     [111, -1, 182], [114, -1, 190], [116, -1, 198], [117, -1, 206], [118, -1, 223], [120, -1, 231], [121, 0, 247],
     [123, 0, 270], [124, 0, 295], [125, 0, 310], [127, 1, 318], [127, 2, 326], [129, 2, 342], [130, 2, 358],
     [131, 3, 366], [132, 3, 382], [133, 3, 414], [134, 3, 438], [135, 3, 479], [137, 5, 502], [138, 5, 543],
     [139, 5, 558], [140, 5, 575], [142, 6, 582], [143, 6, 598], [144, 6, 606], [145, 7, 614], [146, 7, 638],
     [147, 8, 654], [148, 8, 726], [149, 8, 750], [150, 8, 774], [150, 8, 1150]],
    [[-26, -38, 0], [0, 0, 0], [0, -1, 6], [1, -1, 30], [4, -1, 38], [5, -1, 46], [8, -1, 54], [12, -1, 62],
     [15, 0, 70], [21, 1, 78], [25, 1, 86], [31, 3, 94], [35, 3, 102], [43, 3, 110], [48, 3, 118], [55, 5, 126],
     [62, 6, 134], [67, 7, 142], [70, 7, 150], [75, 8, 158], [79, 9, 167], [82, 9, 174], [85, 10, 182], [88, 10, 190],
     [90, 10, 198], [92, 11, 207], [93, 11, 214], [94, 11, 222], [96, 12, 238], [97, 12, 255], [99, 13, 278],
     [100, 13, 294], [101, 13, 302], [102, 13, 310], [103, 13, 318], [103, 14, 326], [105, 14, 334], [106, 14, 342],
     [107, 14, 366], [108, 14, 374], [109, 14, 496], [110, 14, 512], [112, 15, 528], [112, 16, 536], [114, 16, 560],
     [114, 16, 902]],
    [[-36, -22, 0], [0, 0, 0], [1, 0, 74], [4, 0, 83], [5, 0, 91], [8, 0, 98], [11, 0, 106], [14, 0, 115], [18, 0, 122],
     [24, 0, 130], [28, 0, 139], [33, 0, 146], [40, 0, 156], [47, 0, 162], [53, 0, 170], [60, 0, 176], [64, 0, 184],
     [67, 0, 192], [69, 0, 200], [70, 0, 208], [71, 0, 216], [72, 0, 224], [74, 0, 256], [75, 0, 362], [77, 0, 378],
     [78, 0, 400], [79, 0, 424], [80, 0, 440], [81, 0, 464], [82, 0, 561], [83, 0, 570], [84, 0, 578], [85, 0, 610],
     [86, 0, 618], [88, -1, 634], [89, -1, 690], [89, -2, 699], [90, -3, 860], [91, -5, 883], [91, -5, 1215]],
    [[-47, -23, 0], [0, 0, 0], [0, -1, 70], [1, -1, 79], [3, -1, 86], [6, -1, 96], [8, -1, 104], [11, -1, 111],
     [14, -1, 116], [16, -1, 124], [20, -1, 132], [23, -1, 141], [26, 0, 149], [29, 0, 156], [32, 1, 165], [34, 1, 172],
     [37, 1, 181], [38, 2, 187], [42, 2, 195], [44, 2, 203], [46, 3, 212], [49, 3, 219], [52, 3, 228], [56, 4, 235],
     [60, 4, 244], [64, 4, 251], [68, 4, 260], [72, 4, 268], [77, 5, 276], [81, 5, 284], [85, 6, 291], [88, 6, 299],
     [90, 7, 308], [93, 7, 316], [96, 8, 324], [97, 8, 332], [100, 9, 340], [101, 9, 348], [103, 9, 355], [104, 9, 364],
     [106, 9, 371], [107, 10, 381], [109, 10, 388], [110, 10, 396], [111, 10, 412], [112, 10, 420], [113, 10, 427],
     [114, 10, 451], [115, 10, 467], [116, 10, 492], [118, 11, 692], [119, 11, 699], [120, 11, 724], [122, 12, 747],
     [122, 12, 1131]],
    [[-43, -44, 0], [0, 0, 0], [0, 1, 63], [2, 2, 71], [4, 2, 80], [7, 2, 85], [11, 4, 92], [14, 5, 101], [18, 6, 108],
     [24, 7, 116], [31, 7, 123], [38, 9, 131], [42, 9, 139], [47, 9, 147], [54, 9, 155], [58, 9, 163], [62, 9, 171],
     [65, 9, 179], [66, 9, 188], [69, 9, 195], [70, 9, 203], [72, 9, 212], [74, 9, 228], [75, 9, 244], [76, 10, 260],
     [77, 10, 276], [79, 11, 291], [79, 11, 724]],
    [[-24, -33, 0], [0, 0, 0], [0, -1, 64], [1, -1, 72], [3, -1, 80], [5, -1, 88], [9, -1, 96], [13, -1, 104],
     [18, -1, 111], [22, -1, 121], [30, -1, 127], [37, -1, 135], [41, -1, 144], [48, 1, 151], [52, 1, 160],
     [57, 2, 168], [62, 3, 175], [65, 3, 184], [69, 4, 195], [73, 4, 199], [77, 6, 209], [81, 6, 215], [82, 7, 223],
     [85, 7, 230], [86, 7, 238], [86, 8, 246], [88, 8, 263], [89, 8, 270], [89, 9, 278], [91, 9, 286], [92, 9, 303],
     [94, 9, 310], [96, 9, 319], [99, 9, 326], [101, 9, 334], [105, 9, 342], [108, 9, 350], [111, 9, 358],
     [114, 9, 366], [117, 9, 374], [118, 9, 383], [120, 9, 391], [122, 9, 399], [123, 9, 406], [124, 9, 415],
     [125, 10, 423], [126, 10, 431], [127, 10, 438], [128, 10, 463], [128, 11, 503], [129, 11, 702], [130, 11, 709],
     [131, 11, 717], [131, 12, 725], [132, 12, 733], [133, 12, 749], [133, 12, 1118]],
    [[-37, -36, 0], [0, 0, 0], [2, 0, 7], [3, 0, 22], [5, 1, 31], [6, 1, 41], [8, 2, 48], [9, 2, 52], [11, 2, 60],
     [12, 2, 68], [14, 2, 76], [15, 2, 84], [18, 3, 92], [19, 3, 100], [21, 3, 109], [23, 4, 116], [26, 4, 125],
     [30, 5, 132], [33, 5, 141], [36, 5, 148], [41, 5, 156], [45, 7, 164], [47, 7, 172], [51, 7, 180], [55, 7, 189],
     [62, 7, 196], [65, 7, 205], [69, 7, 212], [73, 7, 220], [76, 7, 228], [78, 7, 236], [81, 7, 244], [82, 7, 252],
     [84, 7, 260], [85, 7, 269], [87, 7, 276], [88, 7, 285], [89, 7, 292], [91, 7, 301], [92, 7, 309], [93, 7, 316],
     [94, 7, 327], [95, 7, 342], [95, 8, 348], [97, 8, 357], [98, 8, 380], [98, 7, 662], [97, 7, 671], [95, 7, 679],
     [94, 7, 687], [94, 6, 695], [93, 6, 711], [90, 6, 1275], [90, 5, 1282], [89, 4, 1290], [88, 4, 1307],
     [88, 4, 1771]],
    [[-48, -30, 0], [0, 0, 0], [4, 0, 84], [7, 0, 94], [10, 1, 100], [13, 1, 109], [15, 2, 117], [18, 2, 127],
     [21, 3, 132], [25, 3, 137], [27, 4, 145], [29, 4, 153], [32, 4, 162], [35, 5, 169], [37, 5, 177], [40, 6, 185],
     [44, 7, 193], [46, 7, 203], [49, 7, 210], [52, 7, 217], [54, 9, 227], [56, 9, 233], [57, 9, 241], [59, 9, 250],
     [60, 9, 266], [61, 9, 299], [62, 9, 314], [63, 9, 321], [64, 9, 369], [64, 9, 743]],
    [[-50, -32, 0], [0, 0, 0], [2, 0, 13], [4, 0, 21], [6, 0, 29], [8, 0, 39], [11, 0, 45], [14, 0, 53], [19, 0, 61],
     [24, 0, 69], [27, 0, 76], [32, 0, 85], [37, 0, 92], [41, 0, 101], [48, 1, 108], [51, 2, 117], [54, 3, 124],
     [57, 4, 133], [60, 4, 140], [63, 4, 148], [65, 5, 157], [67, 6, 164], [68, 6, 173], [70, 7, 181], [71, 7, 197],
     [73, 8, 205], [74, 8, 244], [75, 8, 269], [77, 10, 300], [77, 10, 636]],
    [[-28, -30, 0], [0, 0, 0], [0, 1, 74], [1, 1, 90], [4, 1, 98], [7, 1, 106], [10, 2, 114], [11, 2, 123],
     [16, 3, 131], [18, 3, 139], [20, 3, 146], [23, 4, 155], [25, 4, 163], [27, 5, 170], [29, 5, 179], [30, 5, 187],
     [32, 5, 196], [33, 5, 202], [34, 5, 211], [36, 5, 218], [37, 5, 227], [40, 7, 235], [42, 7, 243], [44, 7, 250],
     [45, 7, 259], [47, 8, 267], [49, 8, 274], [51, 8, 282], [53, 8, 291], [54, 8, 299], [56, 8, 307], [57, 8, 314],
     [60, 9, 323], [61, 9, 331], [63, 9, 346], [64, 9, 355], [65, 9, 363], [67, 10, 387], [68, 10, 458], [69, 10, 491],
     [70, 10, 943], [72, 10, 967], [73, 10, 1003], [74, 10, 1028], [74, 10, 1403]],
    [[-34, -15, 0], [0, 0, 0], [0, -1, 53], [1, -1, 61], [2, -1, 70], [4, -1, 74], [7, -1, 82], [9, -1, 90],
     [12, -1, 98], [15, -1, 106], [19, -1, 116], [20, -1, 122], [24, -1, 130], [27, -1, 138], [30, -1, 147],
     [31, -1, 154], [34, -1, 162], [38, 0, 170], [39, 0, 178], [42, 1, 186], [45, 2, 193], [46, 2, 209], [49, 4, 217],
     [51, 4, 233], [52, 5, 241], [54, 5, 257], [56, 6, 264], [59, 7, 281], [61, 7, 297], [62, 8, 304], [63, 8, 320],
     [65, 9, 329], [65, 9, 360], [66, 9, 457], [65, 9, 692], [65, 9, 700], [64, 9, 732], [63, 9, 739], [62, 9, 756],
     [61, 9, 779], [60, 9, 795], [59, 9, 827], [58, 9, 908], [57, 9, 923], [57, 9, 1264]],
    [[-53, -33, 0], [0, 0, 0], [1, 0, 47], [2, 0, 54], [5, 0, 63], [6, 0, 66], [8, 0, 72], [10, 0, 83], [13, 0, 87],
     [17, 0, 94], [22, 0, 101], [26, 1, 110], [30, 2, 118], [37, 3, 125], [43, 4, 133], [47, 4, 141], [52, 4, 150],
     [55, 4, 157], [59, 5, 165], [61, 5, 173], [64, 5, 181], [66, 5, 189], [68, 5, 197], [69, 5, 205], [70, 6, 213],
     [71, 6, 221], [72, 6, 238], [73, 6, 247], [74, 7, 254], [75, 8, 262], [76, 8, 294], [77, 8, 317], [78, 8, 333],
     [79, 8, 349], [80, 8, 374], [81, 8, 389], [82, 8, 397], [84, 8, 414], [85, 8, 422], [85, 9, 429], [86, 9, 445],
     [87, 9, 453], [88, 10, 461], [89, 10, 477], [90, 11, 485], [91, 11, 501], [92, 12, 526], [93, 12, 541],
     [94, 12, 558], [95, 12, 574], [96, 12, 606], [97, 12, 622], [97, 13, 637], [98, 13, 646], [99, 13, 790],
     [100, 13, 805], [101, 14, 968], [102, 14, 992], [102, 14, 1349]],
    [[-46, -42, 0], [0, 0, 0], [2, 0, 89], [5, 1, 96], [9, 3, 111], [13, 4, 118], [17, 4, 122], [21, 4, 125],
     [27, 5, 133], [33, 7, 140], [35, 7, 148], [39, 7, 154], [43, 8, 161], [46, 9, 170], [51, 9, 177], [54, 9, 185],
     [58, 10, 193], [59, 10, 201], [62, 11, 209], [65, 11, 217], [65, 11, 225], [68, 12, 233], [69, 12, 241],
     [71, 13, 257], [72, 13, 266], [74, 13, 274], [75, 13, 282], [77, 13, 290], [79, 13, 298], [82, 13, 307],
     [83, 13, 314], [85, 13, 324], [86, 13, 330], [88, 13, 338], [89, 14, 355], [90, 15, 371], [91, 15, 387],
     [92, 15, 410], [95, 15, 426], [97, 15, 442], [99, 15, 450], [101, 16, 458], [104, 16, 467], [107, 17, 474],
     [110, 17, 482], [113, 17, 490], [115, 18, 499], [117, 18, 508], [119, 18, 515], [120, 18, 522], [121, 19, 530],
     [122, 19, 538], [123, 19, 546], [124, 19, 570], [125, 19, 586], [126, 19, 603], [127, 19, 650], [128, 19, 666],
     [129, 19, 690], [130, 19, 786], [131, 19, 794], [132, 20, 809], [133, 20, 834], [134, 20, 850], [135, 20, 857],
     [136, 21, 897], [136, 21, 1257]],
    [[-41, -32, 0], [0, 0, 0], [2, 0, 36], [3, 0, 45], [4, 0, 49], [5, 0, 54], [7, 0, 61], [10, 0, 67], [12, 0, 75],
     [15, 0, 81], [17, 1, 89], [18, 1, 97], [21, 1, 105], [23, 1, 113], [25, 1, 121], [27, 1, 129], [29, 1, 137],
     [30, 3, 146], [33, 3, 153], [35, 3, 161], [39, 4, 169], [40, 4, 178], [43, 4, 185], [45, 4, 194], [49, 4, 202],
     [53, 4, 209], [56, 4, 217], [59, 4, 226], [62, 4, 234], [65, 4, 242], [68, 4, 250], [71, 4, 259], [73, 4, 265],
     [77, 4, 274], [79, 4, 282], [80, 4, 290], [83, 4, 298], [85, 4, 306], [86, 4, 314], [89, 4, 321], [90, 4, 329],
     [92, 4, 346], [93, 4, 354], [94, 4, 362], [95, 4, 378], [96, 4, 386], [97, 4, 402], [99, 4, 410], [100, 5, 418],
     [101, 5, 434], [102, 5, 441], [103, 5, 458], [104, 5, 466], [105, 5, 474], [106, 5, 498], [107, 5, 506],
     [108, 5, 522], [109, 5, 538], [110, 5, 545], [112, 6, 554], [114, 6, 585], [115, 6, 594], [115, 7, 601],
     [116, 7, 618], [117, 7, 627], [118, 7, 633], [120, 7, 649], [121, 7, 657], [122, 8, 674], [123, 8, 681],
     [124, 8, 689], [125, 8, 714], [126, 8, 730], [127, 8, 738], [128, 8, 1747], [129, 8, 1762], [130, 9, 1786],
     [131, 9, 1817], [131, 9, 2137]],
    [[-30, -41, 0], [0, 0, 0], [1, 0, 49], [3, 0, 56], [4, 2, 65], [5, 2, 73], [8, 3, 81], [11, 4, 89], [14, 5, 97],
     [17, 6, 105], [19, 7, 113], [23, 7, 121], [26, 7, 129], [30, 8, 137], [35, 10, 145], [39, 10, 153], [43, 10, 163],
     [47, 10, 168], [53, 11, 178], [57, 11, 185], [62, 12, 192], [65, 12, 200], [69, 12, 208], [73, 12, 216],
     [77, 12, 224], [81, 12, 232], [85, 12, 240], [89, 12, 248], [94, 12, 256], [98, 12, 264], [101, 12, 272],
     [105, 12, 281], [108, 14, 288], [111, 14, 296], [115, 14, 304], [119, 15, 313], [121, 15, 320], [126, 16, 329],
     [130, 16, 336], [136, 16, 345], [141, 16, 352], [143, 16, 362], [147, 16, 368], [149, 16, 378], [150, 18, 384],
     [152, 18, 400], [153, 18, 416], [155, 18, 432], [155, 18, 1064]],
    [[-27, -35, 0], [0, 0, 0], [0, -1, 113], [1, 0, 123], [3, 0, 131], [6, 2, 146], [9, 3, 148], [12, 3, 152],
     [15, 6, 160], [19, 6, 168], [21, 7, 177], [26, 8, 184], [30, 10, 193], [35, 12, 201], [39, 12, 210], [43, 12, 217],
     [46, 13, 226], [50, 13, 233], [56, 15, 242], [59, 15, 249], [62, 15, 257], [65, 15, 265], [66, 15, 272],
     [70, 15, 280], [73, 15, 289], [76, 15, 296], [79, 15, 304], [80, 15, 312], [83, 15, 321], [85, 16, 330],
     [87, 16, 337], [88, 16, 345], [90, 17, 353], [91, 17, 360], [93, 17, 368], [94, 18, 376], [95, 18, 385],
     [97, 18, 393], [98, 19, 409], [99, 19, 417], [100, 19, 425], [101, 19, 449], [102, 19, 457], [103, 19, 465],
     [104, 19, 481], [105, 19, 497], [106, 19, 513], [107, 19, 521], [108, 19, 537], [109, 19, 717], [110, 19, 733],
     [110, 20, 741], [111, 20, 750], [112, 20, 778], [112, 20, 1113]],
    [[-28, -39, 0], [0, 0, 0], [1, 0, 5], [2, 0, 12], [3, 0, 20], [5, 0, 29], [7, 0, 36], [9, 0, 45], [10, 0, 52],
     [13, 0, 62], [16, 0, 68], [19, 0, 77], [22, 1, 85], [25, 1, 92], [28, 2, 100], [31, 2, 108], [33, 3, 116],
     [36, 3, 125], [39, 3, 132], [43, 5, 141], [47, 6, 148], [52, 6, 156], [57, 6, 164], [63, 7, 172], [68, 8, 180],
     [73, 8, 188], [77, 8, 196], [80, 8, 204], [83, 8, 212], [86, 8, 220], [89, 8, 229], [90, 8, 236], [94, 9, 244],
     [96, 9, 252], [98, 9, 261], [100, 9, 268], [101, 9, 275], [103, 9, 283], [104, 9, 291], [106, 9, 299],
     [107, 9, 316], [109, 9, 332], [110, 10, 356], [112, 10, 371], [113, 10, 379], [116, 10, 396], [117, 10, 403],
     [118, 10, 411], [119, 10, 428], [120, 10, 460], [121, 10, 476], [122, 10, 483], [123, 10, 491], [123, 11, 499],
     [124, 11, 508], [125, 11, 540], [127, 11, 595], [128, 12, 796], [131, 12, 820], [132, 13, 846], [133, 13, 868],
     [133, 13, 1187]],
    [[-36, -36, 0], [0, 0, 0], [2, 0, 67], [5, 0, 74], [7, 0, 83], [10, 0, 90], [15, 0, 95], [19, 0, 103], [26, 0, 111],
     [31, 0, 119], [35, 0, 127], [41, 0, 135], [44, 0, 143], [48, 0, 151], [51, 0, 160], [53, 0, 167], [55, 0, 176],
     [56, 0, 183], [58, 0, 192], [59, 0, 199], [61, 0, 216], [62, 0, 231], [64, 0, 240], [65, 0, 256], [66, 0, 264],
     [68, 2, 280], [69, 2, 288], [70, 2, 319], [71, 2, 336], [72, 2, 375], [73, 2, 527], [74, 2, 552], [75, 2, 560],
     [76, 3, 632], [77, 4, 760], [78, 4, 808], [79, 4, 816], [79, 5, 840], [79, 5, 1135]],
    [[-33, -51, 0], [0, 0, 0], [2, 0, 41], [4, 0, 49], [7, 0, 56], [11, 0, 72], [14, 0, 78], [17, 1, 85], [20, 3, 91],
     [22, 3, 99], [25, 3, 106], [29, 3, 114], [33, 4, 120], [37, 4, 129], [41, 4, 136], [43, 4, 145], [46, 5, 153],
     [49, 7, 161], [51, 7, 169], [54, 7, 177], [55, 7, 185], [56, 7, 193], [58, 7, 201], [60, 8, 209], [62, 8, 225],
     [63, 9, 232], [65, 9, 240], [66, 10, 248], [68, 11, 265], [70, 11, 272], [71, 11, 281], [72, 11, 289],
     [73, 12, 297], [75, 12, 312], [77, 13, 336], [78, 13, 345], [80, 13, 360], [81, 13, 368], [82, 14, 384],
     [81, 14, 673], [79, 15, 688], [78, 15, 697], [76, 15, 720], [75, 15, 737], [73, 15, 752], [72, 15, 768],
     [71, 15, 792], [70, 15, 825], [69, 15, 857], [68, 16, 864], [67, 16, 897], [68, 16, 1233], [69, 16, 1241],
     [70, 16, 1619], [71, 16, 1642], [72, 16, 1761], [72, 16, 2129]],
    [[-47, -38, 0], [0, 0, 0], [1, 0, 56], [3, 0, 66], [3, 1, 73], [6, 1, 80], [7, 2, 88], [9, 3, 97], [11, 4, 104],
     [13, 5, 113], [15, 5, 121], [17, 6, 129], [21, 6, 136], [23, 7, 145], [26, 8, 152], [29, 9, 161], [32, 9, 168],
     [36, 9, 176], [40, 9, 185], [44, 11, 192], [49, 12, 201], [52, 12, 209], [56, 12, 217], [57, 13, 225],
     [61, 13, 232], [64, 13, 241], [65, 13, 249], [66, 13, 256], [67, 13, 266], [69, 15, 273], [70, 15, 281],
     [72, 15, 288], [74, 16, 297], [76, 16, 312], [77, 16, 321], [78, 16, 337], [79, 16, 344], [80, 16, 352],
     [82, 16, 377], [82, 17, 392], [83, 17, 409], [84, 17, 564], [85, 17, 580], [86, 17, 612], [87, 18, 622],
     [88, 18, 730], [89, 18, 1572], [89, 18, 2080]],
    [[-43, -46, 0], [0, 0, 0], [1, 0, 57], [3, 1, 73], [5, 1, 80], [7, 2, 89], [8, 2, 96], [9, 3, 104], [12, 3, 113],
     [13, 3, 120], [14, 3, 129], [16, 5, 136], [18, 6, 145], [20, 6, 152], [22, 6, 160], [24, 6, 168], [27, 7, 177],
     [29, 7, 184], [32, 7, 192], [35, 7, 200], [38, 7, 208], [43, 9, 216], [45, 9, 225], [49, 9, 232], [52, 9, 240],
     [56, 9, 249], [59, 9, 256], [61, 9, 265], [63, 9, 273], [65, 9, 281], [65, 9, 289], [67, 9, 296], [68, 9, 305],
     [69, 9, 313], [71, 9, 321], [72, 9, 337], [74, 10, 346], [75, 10, 361], [77, 10, 369], [78, 10, 385],
     [80, 10, 401], [81, 10, 417], [83, 10, 441], [84, 10, 448], [85, 11, 465], [86, 11, 473], [87, 11, 489],
     [89, 11, 497], [90, 11, 505], [91, 12, 513], [92, 12, 529], [94, 12, 546], [95, 12, 553], [96, 13, 561],
     [97, 13, 577], [99, 13, 585], [100, 13, 617], [101, 13, 641], [102, 13, 661], [103, 13, 693], [104, 13, 702],
     [105, 13, 724], [106, 13, 1054], [107, 13, 1075], [108, 13, 1337], [109, 14, 1375], [110, 14, 1394],
     [110, 14, 1920]],
    [[-49, -18, 0], [0, 0, 0], [0, -1, 25], [1, -1, 29], [3, -1, 37], [6, -1, 44], [9, -1, 52], [14, -1, 58],
     [18, -1, 65], [24, -1, 74], [33, -1, 81], [40, -1, 90], [50, -1, 97], [60, -1, 107], [69, -1, 114], [78, -1, 122],
     [89, -1, 131], [97, -1, 138], [105, -1, 146], [111, -1, 154], [114, 0, 162], [118, 1, 170], [121, 2, 178],
     [123, 3, 186], [124, 5, 194], [126, 5, 202], [128, 7, 211], [129, 8, 217], [131, 9, 225], [133, 11, 233],
     [133, 12, 242], [134, 12, 249], [136, 13, 257], [137, 14, 266], [139, 15, 282], [141, 16, 309], [142, 17, 341],
     [143, 18, 359], [145, 18, 398], [145, 19, 405], [146, 19, 419], [148, 19, 443], [149, 20, 460], [150, 20, 547],
     [151, 20, 563], [151, 21, 570], [153, 21, 586], [154, 22, 594], [155, 23, 611], [156, 24, 863], [157, 24, 929],
     [158, 24, 935], [159, 24, 1391], [160, 24, 1406], [161, 24, 1463], [161, 24, 1785]],
    [[-45, -39, 0], [0, 0, 0], [2, 0, 41], [5, 0, 49], [11, 0, 61], [17, 0, 68], [25, 0, 73], [33, 0, 79], [42, 0, 84],
     [51, 0, 92], [62, 0, 100], [72, 0, 108], [82, 0, 117], [92, 0, 125], [98, 0, 132], [104, 0, 140], [107, 0, 148],
     [110, 2, 156], [111, 2, 164], [112, 2, 180], [113, 2, 245], [114, 3, 269], [115, 3, 308], [116, 5, 333],
     [117, 5, 340], [117, 6, 412], [118, 6, 460], [119, 6, 476], [120, 6, 516], [121, 6, 612], [121, 6, 900]],
    [[-15, -29, 0], [0, 0, 0], [1, 0, 22], [2, 0, 31], [4, 0, 49], [8, 0, 59], [11, 1, 65], [18, 2, 74], [22, 4, 80],
     [28, 4, 89], [33, 4, 97], [40, 5, 105], [47, 6, 113], [57, 9, 121], [62, 9, 127], [69, 9, 134], [77, 9, 142],
     [85, 9, 150], [92, 9, 158], [99, 9, 166], [105, 9, 174], [109, 9, 182], [114, 9, 190], [118, 9, 198],
     [121, 9, 206], [124, 9, 214], [126, 9, 222], [129, 9, 231], [131, 9, 239], [132, 10, 247], [134, 10, 255],
     [136, 10, 262], [138, 11, 272], [139, 11, 278], [142, 11, 287], [144, 11, 294], [147, 12, 302], [149, 12, 310],
     [150, 12, 319], [152, 12, 326], [154, 12, 334], [154, 13, 342], [155, 13, 351], [156, 13, 358], [157, 14, 374],
     [158, 14, 506], [160, 14, 521], [161, 16, 530], [162, 16, 538], [163, 16, 550], [162, 16, 1629], [161, 16, 1669],
     [160, 17, 1701], [159, 17, 1829], [159, 17, 2198]],
    [[-38, -39, 0], [0, 0, 0], [3, 0, 4], [5, 0, 11], [6, 0, 20], [8, 0, 28], [10, 0, 36], [12, 1, 52], [14, 1, 60],
     [16, 1, 68], [17, 2, 77], [18, 2, 84], [20, 2, 94], [22, 2, 100], [24, 2, 116], [25, 2, 125], [27, 2, 132],
     [28, 2, 140], [30, 2, 147], [33, 2, 156], [35, 2, 172], [36, 2, 180], [37, 2, 188], [38, 3, 195], [40, 3, 203],
     [42, 3, 212], [44, 3, 219], [45, 3, 228], [46, 3, 236], [47, 3, 244], [49, 3, 252], [50, 3, 260], [51, 3, 268],
     [52, 3, 276], [53, 3, 284], [55, 3, 308], [56, 3, 316], [57, 3, 343], [58, 4, 350], [59, 4, 360], [60, 4, 382],
     [61, 4, 413], [62, 4, 954], [63, 4, 967], [64, 4, 1036], [65, 4, 1068], [65, 4, 1092], [65, 4, 1411]],
    [[-45, -31, 0], [0, 0, 0], [3, 1, 83], [4, 1, 92], [8, 3, 102], [12, 3, 112], [16, 4, 118], [20, 4, 128],
     [24, 4, 134], [28, 4, 139], [33, 4, 146], [37, 4, 154], [41, 4, 162], [44, 4, 170], [48, 4, 178], [50, 4, 185],
     [51, 4, 193], [53, 4, 202], [55, 4, 209], [57, 4, 218], [59, 4, 225], [61, 4, 234], [62, 4, 241], [65, 4, 251],
     [66, 4, 257], [69, 4, 266], [70, 4, 274], [71, 5, 282], [72, 5, 290], [73, 5, 298], [74, 5, 305], [76, 5, 314],
     [78, 5, 321], [80, 5, 330], [81, 5, 338], [84, 5, 346], [86, 6, 354], [88, 6, 362], [90, 7, 370], [92, 7, 378],
     [94, 7, 386], [95, 7, 394], [97, 8, 402], [99, 8, 409], [100, 8, 418], [101, 8, 426], [103, 9, 434],
     [104, 10, 442], [105, 10, 450], [107, 11, 466], [108, 11, 482], [109, 11, 489], [110, 11, 498], [111, 11, 514],
     [112, 11, 530], [113, 11, 546], [114, 11, 562], [115, 11, 645], [115, 11, 1025]],
    [[-39, -41, 0], [0, 0, 0], [3, 0, 81], [7, 0, 89], [10, 0, 97], [14, 0, 105], [18, 0, 112], [22, 0, 120],
     [26, 0, 128], [30, 0, 136], [34, 0, 144], [39, 0, 153], [42, 0, 160], [47, 0, 169], [51, 0, 177], [55, 0, 185],
     [59, 0, 192], [63, 0, 200], [65, 0, 209], [67, 0, 218], [70, 0, 225], [73, 0, 233], [76, 0, 241], [80, 0, 249],
     [82, 0, 257], [85, 0, 265], [88, 0, 273], [91, 0, 281], [93, 0, 289], [96, 0, 296], [97, 0, 305], [99, 0, 312],
     [100, 0, 321], [102, 0, 328], [103, 0, 337], [105, 0, 352], [106, 0, 377], [108, 0, 402], [109, 0, 419],
     [110, 0, 433], [111, 0, 441], [112, 0, 450], [113, 0, 482], [114, 0, 498], [115, 0, 506], [116, 0, 522],
     [117, 0, 529], [118, 0, 538], [119, 0, 545], [120, 0, 554], [121, 0, 561], [122, 0, 578], [123, 0, 593],
     [124, 0, 618], [125, 0, 625], [126, 0, 636], [127, 0, 652], [129, 0, 659], [130, 0, 684], [131, 0, 740],
     [132, 0, 757], [133, 0, 1327], [134, 0, 1345], [135, 0, 1355], [136, 0, 1717], [137, 0, 1740], [137, 0, 1977]],
    [[-34, -28, 0], [0, 0, 0], [1, 0, 12], [5, 0, 24], [9, 0, 33], [12, 0, 41], [22, 0, 51], [29, 2, 55], [32, 2, 63],
     [37, 3, 71], [44, 4, 79], [48, 4, 87], [54, 5, 96], [58, 5, 103], [64, 7, 113], [66, 7, 119], [70, 8, 129],
     [73, 8, 135], [75, 8, 143], [77, 8, 151], [79, 8, 160], [81, 8, 167], [82, 8, 176], [83, 8, 183], [84, 8, 192],
     [85, 8, 199], [86, 8, 207], [87, 8, 215], [88, 9, 231], [89, 9, 239], [90, 9, 247], [92, 10, 271], [93, 11, 295],
     [91, 11, 508], [90, 11, 516], [88, 11, 527], [87, 11, 539], [85, 11, 555], [84, 11, 563], [83, 11, 579],
     [82, 11, 591], [81, 11, 597], [80, 11, 611], [79, 11, 621], [78, 11, 632], [76, 11, 647], [75, 11, 808],
     [73, 11, 965], [73, 11, 1390]],
    [[-39, -28, 0], [0, 0, 0], [1, 0, 5], [2, 0, 12], [3, 0, 20], [5, 0, 28], [7, 0, 44], [9, 0, 52], [11, 1, 59],
     [13, 1, 67], [16, 2, 75], [18, 2, 83], [21, 2, 91], [25, 3, 99], [28, 3, 107], [31, 4, 115], [35, 4, 124],
     [38, 4, 131], [42, 4, 140], [44, 4, 147], [46, 4, 155], [47, 4, 171], [48, 4, 179], [49, 4, 195], [50, 4, 220],
     [51, 4, 236], [52, 4, 243], [53, 4, 267], [54, 4, 284], [55, 4, 316], [56, 4, 325], [57, 4, 331], [58, 4, 347],
     [59, 4, 363], [60, 4, 380], [61, 5, 395], [63, 5, 459], [64, 5, 483], [65, 5, 515], [65, 5, 531], [66, 5, 547],
     [67, 5, 588], [68, 5, 620], [69, 5, 668], [71, 5, 707], [72, 5, 778], [74, 5, 864], [74, 6, 888], [75, 6, 986],
     [75, 6, 1371]],
    [[-18, -51, 0], [0, 0, 0], [1, 0, 121], [2, 0, 151], [4, 0, 166], [6, 0, 176], [9, 0, 185], [11, 0, 196],
     [13, 0, 199], [17, 0, 203], [21, 1, 209], [24, 1, 218], [28, 2, 225], [33, 2, 234], [38, 2, 241], [41, 2, 249],
     [45, 2, 256], [47, 2, 264], [50, 2, 272], [52, 2, 280], [54, 3, 289], [56, 3, 296], [58, 3, 312], [58, 4, 321],
     [59, 4, 329], [60, 4, 353], [61, 5, 360], [62, 5, 369], [63, 5, 385], [65, 5, 392], [65, 5, 409], [66, 5, 417],
     [67, 5, 424], [68, 5, 433], [69, 5, 440], [71, 5, 448], [74, 5, 464], [75, 5, 472], [77, 5, 480], [78, 5, 489],
     [79, 5, 497], [81, 6, 506], [83, 7, 536], [82, 7, 728], [81, 7, 769], [79, 7, 785], [78, 7, 801], [77, 7, 816],
     [76, 7, 825], [75, 7, 848], [73, 7, 896], [72, 7, 928], [72, 7, 1424]],
    [[-41, -25, 0], [0, 0, 0], [2, 1, 71], [3, 1, 80], [6, 1, 87], [9, 1, 96], [12, 1, 103], [17, 1, 113], [21, 1, 119],
     [25, 1, 129], [32, 1, 136], [40, 1, 145], [46, 1, 151], [54, 1, 160], [60, 1, 167], [65, 1, 175], [69, 1, 184],
     [76, 1, 191], [80, 1, 199], [82, 1, 207], [86, 1, 215], [89, 1, 223], [92, 1, 231], [93, 1, 240], [95, 1, 247],
     [97, 1, 255], [99, 1, 264], [100, 1, 272], [101, 1, 280], [103, 1, 288], [105, 1, 303], [106, 1, 313],
     [109, 1, 320], [112, 1, 327], [114, 1, 335], [117, 1, 344], [120, 1, 351], [121, 1, 359], [122, 1, 367],
     [124, 1, 376], [126, 1, 383], [127, 1, 399], [129, 1, 407], [130, 1, 416], [132, 1, 440], [133, 1, 456],
     [135, 1, 464], [136, 1, 480], [139, 1, 487], [141, 1, 496], [143, 1, 504], [145, 1, 513], [146, 1, 520],
     [149, 1, 528], [151, 2, 535], [154, 2, 543], [157, 2, 551], [159, 4, 577], [161, 4, 581], [163, 4, 583],
     [164, 4, 755], [165, 4, 779], [165, 4, 1230]],
    [[-31, -36, 0], [0, 0, 0], [2, 0, 21], [3, 0, 25], [5, 0, 29], [8, 0, 37], [10, 0, 43], [14, 0, 50], [18, 0, 57],
     [24, 0, 65], [29, 0, 73], [35, 0, 81], [40, 0, 89], [45, 0, 97], [52, 0, 105], [58, 0, 114], [62, 0, 121],
     [66, 0, 130], [69, 0, 137], [70, 0, 145], [72, 0, 154], [73, 0, 161], [74, 0, 170], [75, 0, 178], [76, 0, 401],
     [75, 0, 441], [74, 0, 449], [73, 0, 457], [72, 0, 465], [70, 0, 473], [68, 0, 497], [67, 0, 513], [66, 0, 522],
     [65, 0, 538], [64, 0, 554], [62, 0, 562], [61, 0, 578], [59, 0, 585], [57, 0, 601], [56, 0, 609], [55, 0, 617],
     [54, 0, 634], [53, 0, 641], [52, 0, 657], [50, 0, 665], [49, 0, 682], [48, 0, 698], [47, 0, 705], [47, 0, 1257]],
    [[-26, -44, 0], [0, 0, 0], [2, 0, 62], [3, 0, 70], [4, 0, 76], [5, 0, 84], [6, 0, 91], [9, 0, 97], [10, 0, 105],
     [12, 0, 122], [14, 0, 130], [16, 0, 138], [18, 0, 148], [20, 0, 156], [23, 0, 163], [26, 0, 172], [28, 0, 182],
     [31, 0, 190], [35, 0, 200], [41, 0, 205], [47, 0, 210], [53, 0, 217], [64, 0, 236], [76, 0, 249], [91, 0, 280],
     [93, 0, 288], [95, 0, 296], [96, 0, 304], [99, 0, 321], [102, 0, 328], [103, 0, 336], [105, 0, 344], [108, 0, 352],
     [110, 0, 360], [113, 0, 368], [116, 0, 376], [120, 0, 384], [123, 0, 392], [125, 0, 401], [128, 0, 409],
     [130, 0, 417], [132, 0, 424], [133, 0, 440], [134, 0, 449], [135, 0, 457], [136, 0, 496], [138, 0, 512],
     [139, 0, 536], [140, 0, 553], [141, 0, 560], [142, 0, 576], [143, 0, 584], [144, 0, 592], [145, 0, 600],
     [146, 0, 608], [147, 0, 616], [148, 0, 632], [149, 0, 649], [149, 0, 1088]],
    [[-27, -34, 0], [0, 0, 0], [2, 0, 26], [3, 0, 38], [5, 0, 46], [6, 0, 56], [9, 0, 63], [11, 0, 70], [14, 0, 78],
     [18, 1, 86], [22, 1, 94], [28, 2, 102], [34, 2, 110], [41, 2, 118], [49, 2, 126], [56, 2, 134], [64, 2, 142],
     [70, 2, 150], [79, 2, 158], [86, 2, 166], [92, 2, 175], [98, 2, 182], [104, 3, 190], [108, 3, 198], [112, 3, 206],
     [115, 3, 214], [117, 4, 223], [119, 4, 230], [120, 4, 239], [123, 4, 247], [123, 5, 255], [124, 5, 262],
     [126, 6, 270], [127, 6, 287], [128, 6, 294], [129, 6, 303], [130, 6, 319], [131, 6, 326], [132, 6, 334],
     [133, 6, 359], [135, 7, 367], [136, 7, 382], [138, 8, 392], [137, 8, 700], [136, 8, 709], [135, 8, 716],
     [133, 8, 732], [132, 8, 749], [131, 8, 789], [130, 8, 894], [129, 8, 1072], [129, 8, 1276]],
    [[-30, -33, 0], [0, 0, 0], [1, 0, 92], [3, 0, 102], [4, 0, 110], [5, 0, 114], [7, 0, 121], [9, 0, 129],
     [12, 0, 137], [15, 0, 147], [18, 0, 153], [21, 0, 163], [25, 0, 169], [30, 0, 177], [33, 0, 184], [37, 0, 194],
     [39, 0, 201], [42, 0, 209], [45, 0, 216], [48, 0, 225], [52, 0, 233], [56, 0, 240], [60, 0, 247], [64, 0, 256],
     [67, 0, 264], [72, 1, 272], [74, 1, 279], [76, 1, 288], [78, 1, 295], [79, 1, 304], [80, 1, 312], [82, 1, 320],
     [84, 2, 335], [85, 2, 363], [86, 2, 380], [87, 2, 395], [88, 2, 404], [89, 3, 416], [90, 3, 432], [90, 3, 798]],
    [[-38, -29, 0], [0, 0, 0], [1, 0, 103], [2, 0, 108], [3, 0, 118], [4, 0, 126], [5, 0, 133], [6, 0, 139],
     [7, 0, 170], [9, 0, 178], [10, 0, 210], [11, 0, 218], [12, 0, 241], [14, 1, 266], [15, 1, 298], [16, 1, 313],
     [17, 1, 337], [18, 1, 353], [19, 1, 385], [20, 3, 401], [21, 3, 410], [22, 3, 433], [23, 3, 451], [24, 3, 477],
     [25, 3, 485], [26, 3, 501], [28, 3, 525], [30, 3, 541], [31, 3, 557], [32, 3, 574], [33, 3, 581], [34, 3, 597],
     [35, 3, 613], [36, 3, 623], [38, 3, 643], [39, 3, 658], [40, 3, 682], [41, 3, 698], [42, 2, 714], [43, 2, 778],
     [44, 2, 905], [44, 2, 1137]],
    [[-35, -40, 0], [0, 0, 0], [1, 0, 24], [2, 0, 45], [3, 0, 52], [4, 0, 61], [5, 0, 68], [6, 0, 77], [7, 0, 84],
     [8, 0, 100], [9, 0, 109], [10, 0, 116], [11, 0, 132], [12, 0, 141], [13, 0, 156], [14, 0, 164], [16, 0, 173],
     [17, 0, 189], [18, 0, 197], [20, 0, 204], [22, 0, 220], [23, 0, 237], [25, 0, 253], [26, 0, 277], [28, 0, 293],
     [29, 0, 300], [30, 0, 309], [31, 0, 316], [32, 0, 333], [34, 0, 348], [35, 0, 365], [37, 0, 381], [38, 0, 404],
     [40, 0, 420], [41, 0, 436], [43, 0, 452], [44, 0, 477], [45, 0, 493], [46, 0, 509], [47, 0, 516], [48, 0, 533],
     [49, 0, 541], [50, 0, 548], [51, 0, 565], [53, 0, 581], [54, 0, 612], [53, 0, 861], [52, -1, 884], [50, -1, 916],
     [49, -2, 985], [48, -2, 1040], [47, -2, 1072], [46, -2, 1460], [46, -2, 1884]],
    [[-45, -22, 0], [0, 0, 0], [0, -1, 35], [2, -1, 59], [4, -2, 69], [6, -3, 82], [7, -3, 97], [10, -3, 104],
     [11, -3, 113], [12, -3, 120], [14, -3, 130], [17, -3, 136], [18, -4, 144], [20, -4, 153], [21, -4, 160],
     [23, -4, 169], [24, -4, 175], [26, -4, 183], [27, -5, 191], [28, -5, 199], [29, -5, 208], [30, -5, 217],
     [31, -5, 247], [32, -5, 255], [33, -5, 265], [34, -5, 281], [35, -5, 288], [36, -5, 298], [38, -5, 305],
     [39, -5, 314], [40, -5, 321], [41, -5, 328], [42, -5, 336], [43, -5, 344], [45, -5, 353], [46, -5, 377],
     [47, -5, 393], [48, -5, 400], [49, -5, 408], [50, -5, 425], [51, -5, 432], [52, -5, 441], [53, -5, 457],
     [54, -5, 465], [55, -5, 527], [56, -5, 535], [57, -5, 552], [58, -5, 576], [59, -5, 615], [60, -5, 659],
     [61, -5, 736], [62, -5, 745], [63, -5, 752], [64, -5, 773], [65, -5, 894], [65, -5, 958], [65, -5, 1303]],
    [[-30, -36, 0], [0, 0, 0], [1, 0, 25], [2, 0, 43], [3, 0, 51], [4, 0, 57], [5, 0, 70], [6, 0, 74], [7, 0, 79],
     [9, 0, 87], [11, 0, 94], [14, 0, 101], [15, 0, 109], [18, 0, 116], [22, 0, 124], [25, 0, 133], [29, 0, 140],
     [32, 0, 149], [36, 0, 156], [38, 0, 165], [42, 0, 172], [45, 0, 181], [47, 0, 188], [48, 0, 196], [49, 0, 204],
     [51, 0, 213], [52, 0, 237], [54, 0, 244], [55, 0, 269], [56, 0, 285], [57, 0, 293], [59, 0, 310], [60, 0, 325],
     [61, 0, 333], [62, 0, 349], [64, 0, 357], [65, 0, 389], [65, 0, 404], [66, 1, 421], [67, 1, 436], [68, 2, 444],
     [69, 2, 460], [70, 2, 483], [71, 2, 500], [72, 2, 508], [73, 2, 564], [74, 2, 597], [75, 2, 652], [76, 2, 741],
     [77, 3, 763], [78, 3, 856], [79, 4, 888], [79, 4, 1284]],
    [[-50, -32, 0], [0, 0, 0], [0, -1, 23], [2, -1, 39], [6, -1, 45], [9, -1, 56], [14, -1, 60], [18, -1, 66],
     [22, -1, 74], [29, -1, 82], [32, -1, 89], [35, -1, 97], [41, 0, 105], [46, 0, 113], [48, 0, 121], [51, 0, 130],
     [54, 1, 137], [55, 1, 145], [57, 1, 153], [59, 3, 161], [61, 3, 169], [62, 3, 178], [63, 3, 185], [64, 3, 194],
     [65, 3, 209], [65, 4, 217], [66, 4, 234], [67, 4, 249], [68, 4, 257], [69, 4, 265], [70, 6, 274], [71, 6, 306],
     [72, 6, 321], [73, 6, 417], [74, 6, 449], [75, 7, 465], [75, 7, 1048]],
    [[-36, -26, 0], [0, 0, 0], [1, -1, 126], [4, -1, 136], [6, -1, 142], [7, -1, 152], [10, -1, 158], [12, -1, 164],
     [14, -1, 169], [15, -1, 179], [19, -1, 188], [20, -1, 195], [22, -1, 200], [24, -1, 206], [25, -1, 214],
     [27, -1, 222], [29, -1, 231], [31, -1, 238], [33, -1, 248], [35, -1, 254], [36, -1, 262], [37, -1, 271],
     [39, -1, 279], [40, -1, 302], [41, -1, 311], [42, -1, 318], [43, -1, 328], [44, -1, 334], [45, -1, 343],
     [46, -1, 366], [47, -1, 436], [48, -1, 471], [49, -1, 495], [50, -1, 502], [51, -1, 543], [52, -1, 550],
     [53, -1, 558], [54, -1, 591], [55, -1, 607], [56, -1, 615], [57, -1, 631], [58, -1, 648], [59, -1, 654],
     [59, -1, 1150]],
    [[-56, -41, 0], [0, 0, 0], [2, 0, 76], [5, 0, 89], [10, 0, 102], [17, 0, 115], [23, 0, 123], [27, 0, 131],
     [33, 0, 136], [39, 0, 140], [44, 0, 146], [50, 0, 155], [56, 0, 162], [62, 0, 170], [66, 0, 178], [72, 0, 186],
     [76, 0, 194], [82, 0, 202], [88, 0, 210], [91, 0, 219], [95, 0, 225], [96, 0, 234], [98, 0, 241], [100, 0, 249],
     [101, 0, 274], [102, 0, 321], [103, 0, 353], [104, 0, 401], [105, 0, 409], [106, 0, 425], [108, 0, 433],
     [110, 0, 449], [112, 0, 458], [114, 0, 465], [116, 0, 483], [117, 0, 490], [118, 0, 506], [119, 0, 516],
     [120, 0, 521], [121, 0, 530], [122, 0, 537], [123, 0, 545], [124, 0, 562], [125, 0, 578], [126, 0, 609],
     [127, 0, 649], [127, 0, 1105]],
    [[-24, -41, 0], [0, 0, 0], [1, 0, 122], [2, 0, 138], [3, 0, 147], [5, 0, 158], [7, 0, 171], [8, 0, 179],
     [9, 0, 183], [10, 1, 190], [11, 1, 198], [12, 1, 205], [13, 1, 220], [15, 1, 230], [16, 1, 237], [17, 1, 244],
     [19, 1, 252], [21, 1, 261], [22, 1, 268], [23, 2, 276], [26, 2, 284], [29, 2, 292], [31, 2, 301], [34, 2, 308],
     [37, 2, 316], [40, 2, 324], [43, 2, 332], [49, 2, 341], [52, 2, 348], [56, 2, 356], [61, 2, 364], [65, 2, 372],
     [68, 2, 381], [72, 2, 389], [75, 2, 397], [77, 2, 405], [78, 2, 413], [79, 2, 430], [80, 2, 437], [81, 2, 468],
     [82, 2, 1149], [82, 2, 1451]],
    [[-40, -18, 0], [0, 0, 0], [0, -1, 56], [1, -1, 73], [2, -1, 96], [4, -1, 114], [5, -1, 120], [8, -2, 136],
     [9, -2, 144], [10, -2, 153], [12, -2, 161], [14, -2, 169], [17, -2, 176], [18, -2, 184], [19, -2, 193],
     [21, -2, 201], [22, -2, 209], [24, -2, 217], [25, -2, 225], [27, -2, 232], [28, -2, 241], [30, -2, 256],
     [31, -2, 272], [33, -2, 282], [34, -2, 305], [36, -2, 329], [37, -2, 352], [39, -2, 384], [40, -2, 416],
     [41, -2, 440], [42, -2, 456], [43, -2, 473], [43, -2, 872]],
    [[-55, -33, 0], [0, 0, 0], [2, 0, 74], [6, 0, 82], [10, 0, 89], [14, 0, 97], [19, 0, 105], [23, 0, 113],
     [29, 0, 121], [35, 0, 130], [39, 0, 138], [46, 0, 146], [50, 0, 153], [57, 0, 161], [61, 0, 168], [67, 0, 176],
     [73, 0, 184], [80, 2, 193], [84, 2, 201], [89, 3, 208], [94, 3, 216], [100, 3, 224], [103, 4, 234], [106, 4, 239],
     [108, 4, 247], [110, 4, 255], [112, 5, 264], [113, 6, 271], [114, 6, 288], [115, 6, 296], [117, 6, 312],
     [118, 6, 319], [119, 6, 336], [121, 6, 343], [121, 7, 351], [123, 7, 360], [126, 7, 367], [128, 8, 375],
     [131, 8, 383], [133, 8, 392], [136, 8, 399], [138, 9, 407], [140, 9, 416], [142, 9, 423], [143, 9, 432],
     [146, 10, 440], [147, 10, 449], [148, 10, 464], [149, 10, 471], [149, 11, 497], [150, 12, 549], [151, 12, 561],
     [152, 12, 577], [153, 12, 593], [154, 12, 601], [155, 12, 609], [156, 12, 618], [157, 12, 624], [158, 13, 633],
     [159, 13, 649], [160, 13, 657], [161, 13, 665], [162, 13, 705], [161, 13, 1083], [160, 13, 1116], [159, 13, 1200],
     [159, 13, 1759]],
    [[-47, -25, 0], [0, 0, 0], [0, -1, 64], [2, -1, 81], [5, -1, 88], [7, -1, 98], [11, -1, 105], [16, -1, 113],
     [22, -1, 120], [30, -1, 129], [36, -1, 137], [45, -1, 145], [51, -1, 153], [61, -1, 161], [68, -1, 169],
     [76, -1, 177], [84, -1, 185], [89, -1, 192], [94, -1, 200], [99, -1, 208], [103, -1, 217], [106, -1, 225],
     [109, -1, 232], [110, -1, 241], [111, -1, 248], [112, -1, 257], [113, -1, 265], [114, -1, 272], [115, -1, 281],
     [116, -1, 298], [117, -1, 305], [118, -1, 314], [119, -1, 321], [121, -1, 328], [122, 0, 337], [123, 0, 345],
     [124, 0, 361], [125, 0, 377], [126, 0, 409], [127, 0, 424], [126, 0, 962], [125, 0, 1168], [125, 0, 1513]],
    [[-21, -32, 0], [0, 0, 0], [3, 2, 18], [6, 3, 22], [8, 3, 30], [10, 4, 37], [12, 4, 45], [15, 4, 51], [17, 4, 58],
     [19, 4, 66], [22, 5, 74], [23, 6, 83], [24, 6, 90], [27, 6, 98], [30, 6, 106], [33, 6, 115], [36, 6, 122],
     [40, 6, 131], [44, 6, 139], [48, 6, 147], [50, 6, 155], [54, 6, 163], [57, 6, 170], [61, 6, 179], [65, 6, 186],
     [66, 6, 195], [67, 6, 202], [70, 6, 211], [73, 6, 219], [75, 6, 226], [78, 6, 235], [79, 6, 242], [81, 6, 250],
     [82, 6, 258], [85, 6, 266], [86, 6, 274], [88, 6, 284], [91, 7, 290], [92, 7, 298], [94, 7, 306], [96, 7, 317],
     [99, 7, 323], [100, 7, 330], [102, 7, 338], [105, 7, 347], [106, 7, 355], [107, 7, 363], [109, 7, 371],
     [110, 7, 379], [112, 7, 387], [113, 7, 402], [114, 7, 420], [115, 7, 428], [116, 7, 444], [117, 7, 467],
     [118, 7, 483], [119, 7, 491], [121, 7, 506], [122, 7, 517], [123, 8, 533], [124, 8, 550], [125, 8, 561],
     [126, 8, 574], [127, 8, 582], [128, 8, 596], [130, 9, 612], [131, 9, 635], [133, 9, 674], [133, 10, 684],
     [134, 10, 693], [136, 10, 707], [137, 10, 712], [138, 10, 724], [139, 10, 732], [140, 10, 740], [140, 10, 1169]],
    [[-35, -25, 0], [0, 0, 0], [1, 0, 67], [3, 0, 76], [5, 0, 83], [9, 0, 92], [15, 0, 99], [21, 0, 104], [28, 0, 112],
     [36, 1, 120], [42, 1, 128], [49, 1, 136], [55, 1, 144], [61, 1, 152], [65, 1, 160], [67, 1, 168], [69, 1, 176],
     [71, 2, 184], [72, 2, 192], [74, 2, 208], [75, 2, 248], [76, 2, 296], [77, 2, 312], [78, 2, 328], [80, 3, 344],
     [81, 3, 352], [81, 3, 904]],
    [[-36, -33, 0], [0, 0, 0], [2, -2, 81], [5, -2, 92], [7, -2, 99], [10, -2, 105], [12, -2, 116], [14, -2, 122],
     [17, -2, 126], [19, -2, 134], [21, -2, 143], [24, -2, 150], [25, -2, 157], [28, -2, 165], [29, -2, 173],
     [31, -2, 182], [32, -1, 189], [33, -1, 205], [34, -1, 213], [35, -1, 222], [37, -1, 237], [38, -1, 245],
     [39, -1, 253], [41, -1, 261], [42, -1, 269], [44, -1, 285], [46, -1, 293], [47, -1, 303], [48, -1, 309],
     [49, -1, 317], [51, -1, 325], [52, -1, 334], [54, -1, 341], [56, 1, 349], [57, 1, 357], [58, 1, 373], [60, 1, 382],
     [61, 1, 398], [62, 1, 405], [63, 1, 421], [64, 1, 437], [65, 1, 445], [65, 1, 453], [66, 1, 477], [67, 1, 487],
     [68, 1, 493], [69, 1, 558], [71, 1, 888], [72, 1, 912], [73, 1, 920], [74, 2, 936], [74, 2, 1308]],
    [[-37, -43, 0], [0, 0, 0], [2, -2, 89], [4, -2, 98], [6, -2, 104], [8, -2, 114], [11, -2, 120], [14, -2, 129],
     [19, -2, 136], [23, -2, 145], [30, -2, 151], [35, -2, 160], [41, -2, 173], [46, -2, 176], [50, -2, 184],
     [56, -2, 192], [60, -2, 199], [64, -2, 207], [66, -2, 216], [69, -2, 223], [70, -2, 232], [71, -2, 239],
     [72, -2, 248], [73, -2, 255], [74, -2, 280], [75, -2, 296], [76, -2, 313], [77, -2, 319], [78, -2, 330],
     [79, -2, 336], [81, -2, 352], [82, -2, 362], [84, -2, 368], [85, -2, 376], [87, -2, 384], [88, -2, 392],
     [89, -2, 400], [92, -2, 409], [93, -2, 424], [94, -2, 441], [95, -2, 464], [96, -2, 480], [97, -2, 504],
     [98, -2, 584], [99, -2, 628], [100, -2, 717], [101, -2, 813], [102, -2, 987], [103, -2, 1061], [103, -2, 1272]],
    [[-42, -35, 0], [0, 0, 0], [0, -1, 40], [1, -1, 48], [4, -1, 61], [8, 0, 69], [12, 0, 77], [16, 0, 86], [22, 2, 90],
     [26, 2, 97], [31, 2, 104], [38, 3, 112], [44, 3, 120], [49, 3, 129], [54, 3, 137], [61, 3, 143], [66, 3, 152],
     [70, 3, 159], [74, 3, 167], [78, 3, 174], [82, 3, 183], [85, 3, 190], [89, 3, 199], [91, 3, 207], [93, 3, 216],
     [95, 3, 223], [97, 3, 231], [98, 3, 247], [99, 3, 255], [100, 3, 263], [101, 3, 288], [102, 3, 303], [103, 3, 336],
     [103, 3, 782]],
    [[-28, -24, 0], [0, 0, 0], [1, 0, 99], [2, 0, 110], [4, 0, 118], [5, 0, 123], [7, 0, 131], [9, 0, 146],
     [10, 0, 154], [12, 0, 163], [13, 0, 173], [15, 1, 179], [16, 1, 185], [20, 2, 195], [20, 3, 201], [22, 3, 210],
     [23, 3, 218], [26, 3, 226], [27, 3, 234], [28, 4, 242], [29, 4, 250], [31, 4, 258], [33, 4, 267], [34, 6, 274],
     [37, 6, 282], [38, 6, 291], [41, 7, 298], [43, 7, 314], [45, 7, 322], [46, 7, 331], [47, 7, 338], [48, 7, 346],
     [49, 7, 354], [50, 7, 371], [51, 8, 378], [52, 8, 386], [53, 8, 395], [54, 8, 412], [55, 8, 418], [56, 8, 426],
     [57, 8, 443], [58, 8, 450], [59, 8, 466], [60, 8, 482], [62, 8, 490], [62, 9, 498], [63, 9, 522], [64, 9, 530],
     [65, 9, 546], [65, 9, 929]],
    [[-47, -25, 0], [0, 0, 0], [1, 0, 75], [3, 0, 83], [5, 0, 91], [11, 0, 99], [16, 2, 107], [22, 3, 115],
     [29, 3, 123], [37, 3, 131], [43, 3, 139], [52, 4, 148], [58, 4, 155], [65, 4, 163], [69, 4, 172], [75, 4, 179],
     [79, 4, 187], [83, 4, 194], [87, 4, 204], [90, 4, 211], [94, 4, 219], [97, 4, 227], [99, 4, 237], [102, 4, 243],
     [104, 4, 251], [106, 4, 259], [108, 6, 267], [109, 6, 276], [110, 6, 291], [111, 6, 367], [117, 6, 483],
     [120, 6, 504], [121, 6, 507], [122, 6, 546], [123, 6, 692], [124, 6, 723], [125, 6, 743], [126, 6, 764],
     [126, 7, 787], [127, 7, 823], [129, 7, 943], [129, 7, 1226]],
    [[-43, -31, 0], [0, 0, 0], [0, -1, 73], [0, -2, 81], [1, -3, 89], [3, -3, 98], [4, -3, 105], [8, -4, 113],
     [9, -5, 121], [12, -6, 131], [15, -6, 137], [18, -6, 145], [21, -7, 153], [23, -7, 162], [26, -8, 169],
     [29, -9, 177], [33, -9, 184], [36, -9, 193], [38, -9, 201], [41, -9, 208], [44, -9, 217], [46, -9, 224],
     [49, -10, 233], [51, -10, 240], [53, -10, 258], [54, -10, 265], [55, -10, 282], [56, -10, 289], [57, -10, 298],
     [58, -10, 313], [60, -10, 337], [61, -10, 369], [63, -10, 714], [63, -10, 1280]],
    [[-30, -41, 0], [0, 0, 0], [0, 1, 33], [2, 2, 41], [4, 2, 49], [6, 2, 56], [9, 2, 65], [12, 2, 73], [15, 2, 80],
     [19, 2, 88], [23, 2, 96], [28, 3, 105], [32, 3, 113], [34, 3, 120], [38, 3, 128], [41, 3, 137], [44, 3, 144],
     [45, 3, 153], [47, 3, 160], [50, 3, 169], [52, 3, 176], [55, 3, 185], [58, 3, 192], [60, 3, 202], [63, 3, 208],
     [65, 3, 218], [66, 3, 224], [69, 3, 233], [72, 3, 241], [74, 3, 249], [76, 3, 256], [79, 3, 264], [82, 3, 273],
     [84, 3, 280], [87, 3, 289], [90, 3, 297], [91, 3, 305], [93, 3, 313], [94, 3, 321], [96, 3, 328], [98, 3, 337],
     [100, 3, 345], [101, 3, 353], [103, 3, 361], [105, 3, 369], [107, 3, 377], [109, 3, 386], [112, 3, 393],
     [114, 3, 402], [115, 3, 409], [118, 3, 417], [119, 3, 425], [120, 3, 441], [121, 3, 472], [122, 3, 489],
     [123, 3, 513], [124, 3, 521], [125, 3, 537], [126, 3, 553], [127, 3, 561], [128, 3, 592], [129, 3, 602],
     [130, 3, 618], [131, 3, 632], [132, 3, 641], [133, 3, 649], [134, 3, 673], [135, 3, 689], [136, 3, 705],
     [137, 2, 737], [138, 2, 753], [139, 2, 761], [140, 2, 776], [141, 2, 784], [142, 2, 792], [143, 2, 808],
     [144, 2, 824], [145, 2, 841], [146, 2, 961], [147, 2, 993], [148, 2, 1105], [149, 2, 1153], [150, 2, 1185],
     [150, 2, 1488]],
    [[-38, -33, 0], [0, 0, 0], [0, -1, 32], [1, -1, 71], [2, -1, 80], [4, -1, 89], [8, -1, 95], [12, -1, 105],
     [15, -1, 111], [21, -1, 119], [28, 0, 125], [37, 2, 132], [45, 3, 141], [54, 5, 148], [61, 5, 157], [69, 5, 165],
     [78, 8, 173], [83, 8, 181], [89, 8, 188], [93, 8, 198], [96, 9, 204], [98, 10, 214], [100, 10, 221],
     [101, 10, 230], [104, 11, 237], [105, 11, 254], [106, 11, 262], [107, 11, 270], [108, 11, 278], [110, 12, 285],
     [112, 12, 301], [113, 12, 309], [114, 13, 317], [116, 13, 333], [117, 13, 341], [119, 13, 349], [121, 13, 365],
     [122, 13, 372], [123, 13, 381], [124, 13, 389], [125, 13, 397], [126, 13, 405], [127, 13, 421], [128, 13, 430],
     [129, 13, 445], [130, 13, 468], [131, 13, 495], [132, 13, 527], [134, 13, 537], [136, 14, 570], [138, 14, 599],
     [139, 14, 637], [140, 14, 693], [140, 14, 1068]],
    [[-15, -24, 0], [0, 0, 0], [1, 0, 29], [2, 0, 46], [3, 0, 59], [5, 1, 67], [7, 2, 75], [8, 2, 83], [10, 2, 95],
     [13, 3, 99], [15, 3, 108], [18, 3, 114], [21, 5, 123], [25, 5, 131], [29, 5, 140], [35, 6, 146], [39, 6, 155],
     [45, 7, 162], [49, 7, 171], [56, 9, 178], [61, 9, 186], [66, 9, 194], [71, 9, 202], [75, 9, 211], [79, 9, 218],
     [84, 10, 228], [88, 10, 234], [91, 10, 242], [95, 10, 251], [99, 11, 258], [101, 11, 266], [103, 11, 275],
     [105, 11, 282], [107, 11, 291], [109, 11, 298], [110, 11, 306], [113, 11, 314], [114, 11, 323], [116, 12, 330],
     [117, 12, 338], [119, 12, 346], [120, 12, 354], [123, 13, 362], [124, 13, 370], [126, 13, 378], [128, 14, 386],
     [130, 14, 394], [132, 14, 402], [134, 14, 410], [136, 14, 418], [137, 14, 429], [139, 14, 434], [140, 15, 442],
     [141, 15, 1038], [142, 15, 1048], [143, 15, 1158], [143, 15, 1370]],
    [[-26, -44, 0], [0, 0, 0], [2, 0, 8], [3, 0, 16], [5, 0, 24], [8, 0, 33], [10, 0, 40], [12, 0, 50], [13, 0, 57],
     [15, 0, 66], [17, 0, 72], [20, 0, 80], [23, 0, 89], [25, 0, 97], [28, 0, 104], [32, 0, 113], [36, 0, 121],
     [40, 0, 129], [44, 0, 136], [48, 0, 145], [52, 0, 152], [56, 0, 161], [59, 0, 169], [62, 0, 176], [64, 0, 184],
     [65, 1, 193], [66, 1, 200], [68, 1, 209], [70, 1, 216], [72, 1, 233], [73, 1, 241], [76, 1, 248], [79, 1, 265],
     [80, 1, 280], [81, 1, 288], [82, 1, 297], [82, 2, 305], [83, 2, 320], [84, 2, 329], [85, 2, 344], [86, 2, 360],
     [88, 2, 368], [89, 2, 384], [91, 2, 392], [92, 2, 416], [93, 2, 440], [94, 2, 465], [95, 2, 481], [97, 3, 488],
     [97, 3, 848]],
    [[-28, -39, 0], [0, 0, 0], [1, 0, 67], [4, 0, 75], [7, 1, 83], [10, 1, 92], [14, 1, 100], [17, 1, 107],
     [21, 1, 115], [26, 1, 123], [30, 1, 131], [37, 1, 141], [44, 1, 147], [50, 1, 157], [58, 1, 164], [65, 1, 173],
     [73, 1, 179], [81, 1, 188], [88, 1, 195], [96, 1, 204], [103, 1, 211], [107, 1, 221], [110, 1, 227], [112, 1, 236],
     [114, 1, 245], [116, 1, 253], [117, 1, 261], [118, 1, 283], [119, 1, 308], [120, 1, 327], [121, 1, 352],
     [126, 1, 409], [127, 1, 414], [128, 1, 420], [129, 1, 427], [131, 1, 436], [132, 1, 453], [131, 1, 778],
     [129, 2, 793], [128, 2, 809], [127, 3, 838], [126, 3, 862], [125, 3, 902], [124, 3, 950], [123, 3, 966],
     [122, 3, 982], [122, 3, 1354]],
    [[-39, -28, 0], [0, 0, 0], [1, 0, 88], [5, 0, 96], [8, 0, 111], [14, 3, 120], [17, 3, 127], [21, 3, 131],
     [24, 3, 138], [29, 3, 145], [33, 3, 153], [39, 3, 160], [44, 3, 169], [49, 3, 176], [54, 3, 185], [57, 3, 192],
     [61, 3, 200], [63, 3, 208], [65, 3, 216], [68, 3, 224], [69, 4, 232], [72, 4, 240], [74, 5, 248], [76, 5, 256],
     [79, 6, 264], [80, 6, 272], [82, 6, 280], [85, 7, 290], [86, 7, 296], [89, 7, 305], [92, 7, 312], [94, 7, 320],
     [97, 7, 328], [100, 7, 338], [104, 7, 344], [105, 7, 352], [108, 7, 360], [109, 7, 368], [111, 7, 376],
     [113, 7, 384], [115, 7, 392], [117, 7, 408], [118, 7, 416], [119, 8, 424], [120, 8, 432], [122, 8, 440],
     [122, 9, 448], [124, 9, 464], [125, 9, 473], [127, 9, 480], [128, 10, 489], [129, 10, 496], [130, 10, 506],
     [131, 10, 512], [133, 10, 520], [134, 10, 528], [135, 11, 536], [136, 11, 576], [137, 11, 592], [138, 11, 608],
     [139, 12, 617], [141, 13, 640], [142, 13, 664], [144, 13, 681], [144, 14, 720], [145, 14, 965], [146, 14, 1005],
     [147, 14, 1021], [147, 14, 1296]]
]
